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Simplifying 7(-1m + 1) + -6m = 7(1 + -6m) Reorder the terms: 7(1 + -1m) + -6m = 7(1 + -6m) (1 * 7 + -1m * 7) + -6m = 7(1 + -6m) (7 + -7m) + -6m = 7(1 + -6m) Combine like terms: -7m + -6m = -13m 7 + -13m = 7(1 + -6m) 7 + -13m = (1 * 7 + -6m * 7) 7 + -13m = (7 + -42m) Add '-7' to each side of the equation. 7 + -7 + -13m = 7 + -7 + -42m Combine like terms: 7 + -7 = 0 0 + -13m = 7 + -7 + -42m -13m = 7 + -7 + -42m Combine like terms: 7 + -7 = 0 -13m = 0 + -42m -13m = -42m Solving -13m = -42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42m' to each side of the equation. -13m + 42m = -42m + 42m Combine like terms: -13m + 42m = 29m 29m = -42m + 42m Combine like terms: -42m + 42m = 0 29m = 0 Divide each side by '29'. m = 0 Simplifying m = 0
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