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Simplifying -5(1 + -6m) + 5(1 + 6m) = 7 + 8m + -7 (1 * -5 + -6m * -5) + 5(1 + 6m) = 7 + 8m + -7 (-5 + 30m) + 5(1 + 6m) = 7 + 8m + -7 -5 + 30m + (1 * 5 + 6m * 5) = 7 + 8m + -7 -5 + 30m + (5 + 30m) = 7 + 8m + -7 Reorder the terms: -5 + 5 + 30m + 30m = 7 + 8m + -7 Combine like terms: -5 + 5 = 0 0 + 30m + 30m = 7 + 8m + -7 30m + 30m = 7 + 8m + -7 Combine like terms: 30m + 30m = 60m 60m = 7 + 8m + -7 Reorder the terms: 60m = 7 + -7 + 8m Combine like terms: 7 + -7 = 0 60m = 0 + 8m 60m = 8m Solving 60m = 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 60m + -8m = 8m + -8m Combine like terms: 60m + -8m = 52m 52m = 8m + -8m Combine like terms: 8m + -8m = 0 52m = 0 Divide each side by '52'. m = 0 Simplifying m = 0
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