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Simplifying 8m + -1(7 + 5) = -8 + -2(m + 12) Combine like terms: 7 + 5 = 12 8m + -1(12) = -8 + -2(m + 12) Multiply -1 * 12 8m + -12 = -8 + -2(m + 12) Reorder the terms: -12 + 8m = -8 + -2(m + 12) Reorder the terms: -12 + 8m = -8 + -2(12 + m) -12 + 8m = -8 + (12 * -2 + m * -2) -12 + 8m = -8 + (-24 + -2m) Combine like terms: -8 + -24 = -32 -12 + 8m = -32 + -2m Solving -12 + 8m = -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. -12 + 8m + 2m = -32 + -2m + 2m Combine like terms: 8m + 2m = 10m -12 + 10m = -32 + -2m + 2m Combine like terms: -2m + 2m = 0 -12 + 10m = -32 + 0 -12 + 10m = -32 Add '12' to each side of the equation. -12 + 12 + 10m = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 10m = -32 + 12 10m = -32 + 12 Combine like terms: -32 + 12 = -20 10m = -20 Divide each side by '10'. m = -2 Simplifying m = -2
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