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Simplifying -76 = -5(-8m + -2) + 6(1 + m) Reorder the terms: -76 = -5(-2 + -8m) + 6(1 + m) -76 = (-2 * -5 + -8m * -5) + 6(1 + m) -76 = (10 + 40m) + 6(1 + m) -76 = 10 + 40m + (1 * 6 + m * 6) -76 = 10 + 40m + (6 + 6m) Reorder the terms: -76 = 10 + 6 + 40m + 6m Combine like terms: 10 + 6 = 16 -76 = 16 + 40m + 6m Combine like terms: 40m + 6m = 46m -76 = 16 + 46m Solving -76 = 16 + 46m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-46m' to each side of the equation. -76 + -46m = 16 + 46m + -46m Combine like terms: 46m + -46m = 0 -76 + -46m = 16 + 0 -76 + -46m = 16 Add '76' to each side of the equation. -76 + 76 + -46m = 16 + 76 Combine like terms: -76 + 76 = 0 0 + -46m = 16 + 76 -46m = 16 + 76 Combine like terms: 16 + 76 = 92 -46m = 92 Divide each side by '-46'. m = -2 Simplifying m = -2
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