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Simplifying -8 + -8(m + 8) = -1(3m + -7) + -4 Reorder the terms: -8 + -8(8 + m) = -1(3m + -7) + -4 -8 + (8 * -8 + m * -8) = -1(3m + -7) + -4 -8 + (-64 + -8m) = -1(3m + -7) + -4 Combine like terms: -8 + -64 = -72 -72 + -8m = -1(3m + -7) + -4 Reorder the terms: -72 + -8m = -1(-7 + 3m) + -4 -72 + -8m = (-7 * -1 + 3m * -1) + -4 -72 + -8m = (7 + -3m) + -4 Reorder the terms: -72 + -8m = 7 + -4 + -3m Combine like terms: 7 + -4 = 3 -72 + -8m = 3 + -3m Solving -72 + -8m = 3 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -72 + -8m + 3m = 3 + -3m + 3m Combine like terms: -8m + 3m = -5m -72 + -5m = 3 + -3m + 3m Combine like terms: -3m + 3m = 0 -72 + -5m = 3 + 0 -72 + -5m = 3 Add '72' to each side of the equation. -72 + 72 + -5m = 3 + 72 Combine like terms: -72 + 72 = 0 0 + -5m = 3 + 72 -5m = 3 + 72 Combine like terms: 3 + 72 = 75 -5m = 75 Divide each side by '-5'. m = -15 Simplifying m = -15
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