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Simplifying -12(1 + -7m) + 1 = 11m + 62 (1 * -12 + -7m * -12) + 1 = 11m + 62 (-12 + 84m) + 1 = 11m + 62 Reorder the terms: -12 + 1 + 84m = 11m + 62 Combine like terms: -12 + 1 = -11 -11 + 84m = 11m + 62 Reorder the terms: -11 + 84m = 62 + 11m Solving -11 + 84m = 62 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. -11 + 84m + -11m = 62 + 11m + -11m Combine like terms: 84m + -11m = 73m -11 + 73m = 62 + 11m + -11m Combine like terms: 11m + -11m = 0 -11 + 73m = 62 + 0 -11 + 73m = 62 Add '11' to each side of the equation. -11 + 11 + 73m = 62 + 11 Combine like terms: -11 + 11 = 0 0 + 73m = 62 + 11 73m = 62 + 11 Combine like terms: 62 + 11 = 73 73m = 73 Divide each side by '73'. m = 1 Simplifying m = 1
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