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Simplifying -2(m + -4) = 38 + 8m Reorder the terms: -2(-4 + m) = 38 + 8m (-4 * -2 + m * -2) = 38 + 8m (8 + -2m) = 38 + 8m Solving 8 + -2m = 38 + 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 + -2m + -8m = 38 + 8m + -8m Combine like terms: -2m + -8m = -10m 8 + -10m = 38 + 8m + -8m Combine like terms: 8m + -8m = 0 8 + -10m = 38 + 0 8 + -10m = 38 Add '-8' to each side of the equation. 8 + -8 + -10m = 38 + -8 Combine like terms: 8 + -8 = 0 0 + -10m = 38 + -8 -10m = 38 + -8 Combine like terms: 38 + -8 = 30 -10m = 30 Divide each side by '-10'. m = -3 Simplifying m = -3
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