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Simplifying 8m + -1(7m + 5) = -8 + -2(m + 12) Reorder the terms: 8m + -1(5 + 7m) = -8 + -2(m + 12) 8m + (5 * -1 + 7m * -1) = -8 + -2(m + 12) 8m + (-5 + -7m) = -8 + -2(m + 12) Reorder the terms: -5 + 8m + -7m = -8 + -2(m + 12) Combine like terms: 8m + -7m = 1m -5 + 1m = -8 + -2(m + 12) Reorder the terms: -5 + 1m = -8 + -2(12 + m) -5 + 1m = -8 + (12 * -2 + m * -2) -5 + 1m = -8 + (-24 + -2m) Combine like terms: -8 + -24 = -32 -5 + 1m = -32 + -2m Solving -5 + 1m = -32 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -5 + 1m + 2m = -32 + -2m + 2m Combine like terms: 1m + 2m = 3m -5 + 3m = -32 + -2m + 2m Combine like terms: -2m + 2m = 0 -5 + 3m = -32 + 0 -5 + 3m = -32 Add '5' to each side of the equation. -5 + 5 + 3m = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 3m = -32 + 5 3m = -32 + 5 Combine like terms: -32 + 5 = -27 3m = -27 Divide each side by '3'. m = -9 Simplifying m = -9
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