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**Do Now: Write the question and answer.**

Draw a number line to solve Find the GCF of 16, 40 and 42. Find the LCM of 16, 40 and 42. Solve x - 7 =1. 4

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**Multi-step equations are solved by using two or more steps.**

Combining Like Terms - Add or subtract the coefficient. 1) 2m + 3m = 25 2) = 6x + 3x 5m = 25 -27 = 9x m = 5 -3 = x Combining Like Terms

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Combining Like Terms 3) 7y + 2y + y = 40 4) 6w - 2w = - 20 4w= -20 10y = 40 w = -5 y= 4 Combining Like Terms

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**Practice – Solve the equation.**

5) 8t + 5t - t = 60 6) 54 = 5y + 4y 7) 3w + 4w = 12 Combining Like Terms

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**Practice – Solve the equation. 8) 7 + 3m + 2m = 22 **

9) = 5x x Combining Like Terms

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**Practice – Solve the equation. 12) 82 = 3x+ x +5x + 1**

Combining Like Terms

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When an equation involves parentheses, you can use the distributive property before you combine like terms. 1) 6n + 2(n-1) = 22 2) 5(7+ x) - 3x =43 6n + 2n - 2 =22 35 + 5x – 3x = 43 8n – 2 = 22 35 + 2x = 43 -35 -35 8n = 24 2x = 8 x = 4 n= 3 Distributive Property

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When an equation involves parentheses, you can use the distributive property before you combine like terms. 3) 4(x+7) = 48 4) 9a + 5(3 – a) = 11 9a + 15 – 5a =11 4x + 28 = 48 4a +15 = 11 4x = 20 4a = -4 x = 5 a = -1 Distributive Property

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**Practice – Solve each equation.**

5) 10n + 3(n - 1) = -23 6) 2(3x + 5 ) + 8 =12 7) z + 3(5 – 2z ) = 25 Distributive Property

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**= 18 = -36 Solving an Equation with a Fraction 12 + 3a = 3 6 x 6 6x**

y = - 4 9 x 9 9x 12 + 3a = 18 = -36 y - 5 3a = 6 y = -31 a = 2 Equations with a Fraction

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**= 20 = 12 Solving an Equation with a Fraction 3) 6 - 2b = 5 4 4 x x 4**

4) y = 2 6 x 6 6x 6 – 2b = 20 3y - 6 = 12 -2b = 14 3y = 18 b = -7 y = 6 Equations with a Fraction

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