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Simplifying -4(2m + 3) = 20 + -5m Reorder the terms: -4(3 + 2m) = 20 + -5m (3 * -4 + 2m * -4) = 20 + -5m (-12 + -8m) = 20 + -5m Solving -12 + -8m = 20 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -12 + -8m + 5m = 20 + -5m + 5m Combine like terms: -8m + 5m = -3m -12 + -3m = 20 + -5m + 5m Combine like terms: -5m + 5m = 0 -12 + -3m = 20 + 0 -12 + -3m = 20 Add '12' to each side of the equation. -12 + 12 + -3m = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -3m = 20 + 12 -3m = 20 + 12 Combine like terms: 20 + 12 = 32 -3m = 32 Divide each side by '-3'. m = -10.66666667 Simplifying m = -10.66666667
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