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Simplifying 4(1 + -1m) = 2(m + -5) + 8 (1 * 4 + -1m * 4) = 2(m + -5) + 8 (4 + -4m) = 2(m + -5) + 8 Reorder the terms: 4 + -4m = 2(-5 + m) + 8 4 + -4m = (-5 * 2 + m * 2) + 8 4 + -4m = (-10 + 2m) + 8 Reorder the terms: 4 + -4m = -10 + 8 + 2m Combine like terms: -10 + 8 = -2 4 + -4m = -2 + 2m Solving 4 + -4m = -2 + 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. 4 + -4m + -2m = -2 + 2m + -2m Combine like terms: -4m + -2m = -6m 4 + -6m = -2 + 2m + -2m Combine like terms: 2m + -2m = 0 4 + -6m = -2 + 0 4 + -6m = -2 Add '-4' to each side of the equation. 4 + -4 + -6m = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -6m = -2 + -4 -6m = -2 + -4 Combine like terms: -2 + -4 = -6 -6m = -6 Divide each side by '-6'. m = 1 Simplifying m = 1
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