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Simplifying -4(3m + -2) = -8(m + -2) + -2m Reorder the terms: -4(-2 + 3m) = -8(m + -2) + -2m (-2 * -4 + 3m * -4) = -8(m + -2) + -2m (8 + -12m) = -8(m + -2) + -2m Reorder the terms: 8 + -12m = -8(-2 + m) + -2m 8 + -12m = (-2 * -8 + m * -8) + -2m 8 + -12m = (16 + -8m) + -2m Combine like terms: -8m + -2m = -10m 8 + -12m = 16 + -10m Solving 8 + -12m = 16 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 8 + -12m + 10m = 16 + -10m + 10m Combine like terms: -12m + 10m = -2m 8 + -2m = 16 + -10m + 10m Combine like terms: -10m + 10m = 0 8 + -2m = 16 + 0 8 + -2m = 16 Add '-8' to each side of the equation. 8 + -8 + -2m = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -2m = 16 + -8 -2m = 16 + -8 Combine like terms: 16 + -8 = 8 -2m = 8 Divide each side by '-2'. m = -4 Simplifying m = -4
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