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