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Simplifying -5 + 2(1 + 7m) = 10m + -31 -5 + (1 * 2 + 7m * 2) = 10m + -31 -5 + (2 + 14m) = 10m + -31 Combine like terms: -5 + 2 = -3 -3 + 14m = 10m + -31 Reorder the terms: -3 + 14m = -31 + 10m Solving -3 + 14m = -31 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -3 + 14m + -10m = -31 + 10m + -10m Combine like terms: 14m + -10m = 4m -3 + 4m = -31 + 10m + -10m Combine like terms: 10m + -10m = 0 -3 + 4m = -31 + 0 -3 + 4m = -31 Add '3' to each side of the equation. -3 + 3 + 4m = -31 + 3 Combine like terms: -3 + 3 = 0 0 + 4m = -31 + 3 4m = -31 + 3 Combine like terms: -31 + 3 = -28 4m = -28 Divide each side by '4'. m = -7 Simplifying m = -7
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