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BALANCING EQUATIONS AIM: Solve equations with variables on both sides

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TTTTTTT710 4T + 7 = 3T + 10 TT 3T + 7 = 2T + 10 TT 2T + 7 = T + 10 TT T + 7 = 10 T = 3

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T T T T 4 T T T 9 4T + 4 = 3T + 9 T + 4 = 9 T = 5 T T T T T T 4 T T T T T 10 6T + 4 = 5T + 10 T + 4 = 10 T = 6

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T T T T -1 T T T 6 4T - 1 = 3T + 6 T - 1 = 6 T = 7 T T T T T T -3 T T T T T 11 6T - 3 = 5T + 11 T - 3 = 11 T = 14

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Now try these. Draw a diagram then use it to solve the equation. Make sure you show your working out. 1. 4T + 3 = 3T + 10 2. 7T + 4 = 6T + 9 3. 5T + 8 = 4T + 9 4. 3T + 17 = 2T + 40 5. 6T - 2 = 5T + 10 6. 4T - 1 = 3T + 5 7. 2T - 9 = T + 1 T = 7 T = 5 T = 1 T = 23 T = 12 T = 6 T = 10

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Solving Equations. -132 = 4x – 5(6x – 10) -132 = 4x – 30x + 50 -132 = -26x + 50 -182 = -26x 7 = x.

Solving Equations. -132 = 4x – 5(6x – 10) -132 = 4x – 30x + 50 -132 = -26x + 50 -182 = -26x 7 = x.

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