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Simplifying -4(m + 45) = 8m Reorder the terms: -4(45 + m) = 8m (45 * -4 + m * -4) = 8m (-180 + -4m) = 8m Solving -180 + -4m = 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. -180 + -4m + -8m = 8m + -8m Combine like terms: -4m + -8m = -12m -180 + -12m = 8m + -8m Combine like terms: 8m + -8m = 0 -180 + -12m = 0 Add '180' to each side of the equation. -180 + 180 + -12m = 0 + 180 Combine like terms: -180 + 180 = 0 0 + -12m = 0 + 180 -12m = 0 + 180 Combine like terms: 0 + 180 = 180 -12m = 180 Divide each side by '-12'. m = -15 Simplifying m = -15
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