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BALANCING 2 AIM: To solve equations with variables on both sides

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T T T T 5 T T 11 4T + 5 = 2T + 11

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T T T 5 T 11 4T + 5 = 2T + 11 3T + 5 = T + 11

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T T 5 11 4T + 5 = 2T + 11 3T + 5 = T + 11 2T + 5 = 11 T 2 +5 11 T 2 -5 11 T = 3

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T T T T T 2 T T 17 5T + 2 = 2T + 17

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T T T T 2 T 17 5T + 2 = 2T + 17 4T + 2 = T + 17

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T T T 2 17 5T + 2 = 2T + 17 4T + 2 = T + 17 3T + 2 = 17 T 3 +2 17 T 3 -2 17 T = 5

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T T T T T -10 T 18 5T - 10 = T + 18

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T T T T -10 18 5T - 10 = T + 18 4T - 10 = 18 T 4 -10 18 T 4 +10 18 T = 7

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T T T T T T -15 T T T 3 6T - 15 = 3T + 3 How many Ts can I take from each side?

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T T T -15 3 6T - 15 = 3T + 3 How many Ts can I take from each side? 3T - 15 = 3 T 3 -15 3 T 3 +15 3 T = 6

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Now try these. Draw a diagram and use it to help you solve these equations. 1.4T + 1 = 2T + 9 2.5T + 3 = 2T + 21 3.3T + 8 = T + 12 4.8T - 1 = 4T + 7 5.6T - 11 = T + 14 6.7T + 4 = 3T + 24 7.5T - 6 = 3T + 1 T = 4 T = 6 T = 2 T = 5 T = 3.5

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