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Simplifying 3 + -8(m + -4) = 3m + -20 Reorder the terms: 3 + -8(-4 + m) = 3m + -20 3 + (-4 * -8 + m * -8) = 3m + -20 3 + (32 + -8m) = 3m + -20 Combine like terms: 3 + 32 = 35 35 + -8m = 3m + -20 Reorder the terms: 35 + -8m = -20 + 3m Solving 35 + -8m = -20 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 35 + -8m + -3m = -20 + 3m + -3m Combine like terms: -8m + -3m = -11m 35 + -11m = -20 + 3m + -3m Combine like terms: 3m + -3m = 0 35 + -11m = -20 + 0 35 + -11m = -20 Add '-35' to each side of the equation. 35 + -35 + -11m = -20 + -35 Combine like terms: 35 + -35 = 0 0 + -11m = -20 + -35 -11m = -20 + -35 Combine like terms: -20 + -35 = -55 -11m = -55 Divide each side by '-11'. m = 5 Simplifying m = 5
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