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Simplifying 2(4 + -1m) = 2(m + -4) (4 * 2 + -1m * 2) = 2(m + -4) (8 + -2m) = 2(m + -4) Reorder the terms: 8 + -2m = 2(-4 + m) 8 + -2m = (-4 * 2 + m * 2) 8 + -2m = (-8 + 2m) Solving 8 + -2m = -8 + 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. 8 + -2m + -2m = -8 + 2m + -2m Combine like terms: -2m + -2m = -4m 8 + -4m = -8 + 2m + -2m Combine like terms: 2m + -2m = 0 8 + -4m = -8 + 0 8 + -4m = -8 Add '-8' to each side of the equation. 8 + -8 + -4m = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = -8 + -8 -4m = -8 + -8 Combine like terms: -8 + -8 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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