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Simplifying 7(2 + -6m) = 7(12 + -7m) (2 * 7 + -6m * 7) = 7(12 + -7m) (14 + -42m) = 7(12 + -7m) 14 + -42m = (12 * 7 + -7m * 7) 14 + -42m = (84 + -49m) Solving 14 + -42m = 84 + -49m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '49m' to each side of the equation. 14 + -42m + 49m = 84 + -49m + 49m Combine like terms: -42m + 49m = 7m 14 + 7m = 84 + -49m + 49m Combine like terms: -49m + 49m = 0 14 + 7m = 84 + 0 14 + 7m = 84 Add '-14' to each side of the equation. 14 + -14 + 7m = 84 + -14 Combine like terms: 14 + -14 = 0 0 + 7m = 84 + -14 7m = 84 + -14 Combine like terms: 84 + -14 = 70 7m = 70 Divide each side by '7'. m = 10 Simplifying m = 10
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