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Simplifying 7(5 + -1m) = -6m + 32 (5 * 7 + -1m * 7) = -6m + 32 (35 + -7m) = -6m + 32 Reorder the terms: 35 + -7m = 32 + -6m Solving 35 + -7m = 32 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 35 + -7m + 6m = 32 + -6m + 6m Combine like terms: -7m + 6m = -1m 35 + -1m = 32 + -6m + 6m Combine like terms: -6m + 6m = 0 35 + -1m = 32 + 0 35 + -1m = 32 Add '-35' to each side of the equation. 35 + -35 + -1m = 32 + -35 Combine like terms: 35 + -35 = 0 0 + -1m = 32 + -35 -1m = 32 + -35 Combine like terms: 32 + -35 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3
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