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Simplifying -7(-2 + 6m) = -6m + 5(1 + -7m) (-2 * -7 + 6m * -7) = -6m + 5(1 + -7m) (14 + -42m) = -6m + 5(1 + -7m) 14 + -42m = -6m + (1 * 5 + -7m * 5) 14 + -42m = -6m + (5 + -35m) Reorder the terms: 14 + -42m = 5 + -6m + -35m Combine like terms: -6m + -35m = -41m 14 + -42m = 5 + -41m Solving 14 + -42m = 5 + -41m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '41m' to each side of the equation. 14 + -42m + 41m = 5 + -41m + 41m Combine like terms: -42m + 41m = -1m 14 + -1m = 5 + -41m + 41m Combine like terms: -41m + 41m = 0 14 + -1m = 5 + 0 14 + -1m = 5 Add '-14' to each side of the equation. 14 + -14 + -1m = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -1m = 5 + -14 -1m = 5 + -14 Combine like terms: 5 + -14 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9
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