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Simplifying -12m + -2(4 + -1m) = 8(m + 8) -12m + (4 * -2 + -1m * -2) = 8(m + 8) -12m + (-8 + 2m) = 8(m + 8) Reorder the terms: -8 + -12m + 2m = 8(m + 8) Combine like terms: -12m + 2m = -10m -8 + -10m = 8(m + 8) Reorder the terms: -8 + -10m = 8(8 + m) -8 + -10m = (8 * 8 + m * 8) -8 + -10m = (64 + 8m) Solving -8 + -10m = 64 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -8 + -10m + -8m = 64 + 8m + -8m Combine like terms: -10m + -8m = -18m -8 + -18m = 64 + 8m + -8m Combine like terms: 8m + -8m = 0 -8 + -18m = 64 + 0 -8 + -18m = 64 Add '8' to each side of the equation. -8 + 8 + -18m = 64 + 8 Combine like terms: -8 + 8 = 0 0 + -18m = 64 + 8 -18m = 64 + 8 Combine like terms: 64 + 8 = 72 -18m = 72 Divide each side by '-18'. m = -4 Simplifying m = -4
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