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Simplifying 100 + 40 = 3m + -4 + 9m Combine like terms: 100 + 40 = 140 140 = 3m + -4 + 9m Reorder the terms: 140 = -4 + 3m + 9m Combine like terms: 3m + 9m = 12m 140 = -4 + 12m Solving 140 = -4 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 140 + -12m = -4 + 12m + -12m Combine like terms: 12m + -12m = 0 140 + -12m = -4 + 0 140 + -12m = -4 Add '-140' to each side of the equation. 140 + -140 + -12m = -4 + -140 Combine like terms: 140 + -140 = 0 0 + -12m = -4 + -140 -12m = -4 + -140 Combine like terms: -4 + -140 = -144 -12m = -144 Divide each side by '-12'. m = 12 Simplifying m = 12
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