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Simplifying -5(1 + -7m) + 2(6m + 5) = -42 (1 * -5 + -7m * -5) + 2(6m + 5) = -42 (-5 + 35m) + 2(6m + 5) = -42 Reorder the terms: -5 + 35m + 2(5 + 6m) = -42 -5 + 35m + (5 * 2 + 6m * 2) = -42 -5 + 35m + (10 + 12m) = -42 Reorder the terms: -5 + 10 + 35m + 12m = -42 Combine like terms: -5 + 10 = 5 5 + 35m + 12m = -42 Combine like terms: 35m + 12m = 47m 5 + 47m = -42 Solving 5 + 47m = -42 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 47m = -42 + -5 Combine like terms: 5 + -5 = 0 0 + 47m = -42 + -5 47m = -42 + -5 Combine like terms: -42 + -5 = -47 47m = -47 Divide each side by '47'. m = -1 Simplifying m = -1
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