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Simplifying 4(2m + -4) = 5(m + 4) Reorder the terms: 4(-4 + 2m) = 5(m + 4) (-4 * 4 + 2m * 4) = 5(m + 4) (-16 + 8m) = 5(m + 4) Reorder the terms: -16 + 8m = 5(4 + m) -16 + 8m = (4 * 5 + m * 5) -16 + 8m = (20 + 5m) Solving -16 + 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. -16 + 8m + -5m = 20 + 5m + -5m Combine like terms: 8m + -5m = 3m -16 + 3m = 20 + 5m + -5m Combine like terms: 5m + -5m = 0 -16 + 3m = 20 + 0 -16 + 3m = 20 Add '16' to each side of the equation. -16 + 16 + 3m = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 3m = 20 + 16 3m = 20 + 16 Combine like terms: 20 + 16 = 36 3m = 36 Divide each side by '3'. m = 12 Simplifying m = 12
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