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Simplifying -2(m + 5) = 6m + -1(5m + 7) Reorder the terms: -2(5 + m) = 6m + -1(5m + 7) (5 * -2 + m * -2) = 6m + -1(5m + 7) (-10 + -2m) = 6m + -1(5m + 7) Reorder the terms: -10 + -2m = 6m + -1(7 + 5m) -10 + -2m = 6m + (7 * -1 + 5m * -1) -10 + -2m = 6m + (-7 + -5m) Reorder the terms: -10 + -2m = -7 + 6m + -5m Combine like terms: 6m + -5m = 1m -10 + -2m = -7 + 1m Solving -10 + -2m = -7 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -10 + -2m + -1m = -7 + 1m + -1m Combine like terms: -2m + -1m = -3m -10 + -3m = -7 + 1m + -1m Combine like terms: 1m + -1m = 0 -10 + -3m = -7 + 0 -10 + -3m = -7 Add '10' to each side of the equation. -10 + 10 + -3m = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -3m = -7 + 10 -3m = -7 + 10 Combine like terms: -7 + 10 = 3 -3m = 3 Divide each side by '-3'. m = -1 Simplifying m = -1
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