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Simplifying 8m + -1(7m + 5) = -8 + -5(m + 12) Reorder the terms: 8m + -1(5 + 7m) = -8 + -5(m + 12) 8m + (5 * -1 + 7m * -1) = -8 + -5(m + 12) 8m + (-5 + -7m) = -8 + -5(m + 12) Reorder the terms: -5 + 8m + -7m = -8 + -5(m + 12) Combine like terms: 8m + -7m = 1m -5 + 1m = -8 + -5(m + 12) Reorder the terms: -5 + 1m = -8 + -5(12 + m) -5 + 1m = -8 + (12 * -5 + m * -5) -5 + 1m = -8 + (-60 + -5m) Combine like terms: -8 + -60 = -68 -5 + 1m = -68 + -5m Solving -5 + 1m = -68 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -5 + 1m + 5m = -68 + -5m + 5m Combine like terms: 1m + 5m = 6m -5 + 6m = -68 + -5m + 5m Combine like terms: -5m + 5m = 0 -5 + 6m = -68 + 0 -5 + 6m = -68 Add '5' to each side of the equation. -5 + 5 + 6m = -68 + 5 Combine like terms: -5 + 5 = 0 0 + 6m = -68 + 5 6m = -68 + 5 Combine like terms: -68 + 5 = -63 6m = -63 Divide each side by '6'. m = -10.5 Simplifying m = -10.5
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