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Simplifying 8(m + 6) = 5(m + 12) Reorder the terms: 8(6 + m) = 5(m + 12) (6 * 8 + m * 8) = 5(m + 12) (48 + 8m) = 5(m + 12) Reorder the terms: 48 + 8m = 5(12 + m) 48 + 8m = (12 * 5 + m * 5) 48 + 8m = (60 + 5m) Solving 48 + 8m = 60 + 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. 48 + 8m + -5m = 60 + 5m + -5m Combine like terms: 8m + -5m = 3m 48 + 3m = 60 + 5m + -5m Combine like terms: 5m + -5m = 0 48 + 3m = 60 + 0 48 + 3m = 60 Add '-48' to each side of the equation. 48 + -48 + 3m = 60 + -48 Combine like terms: 48 + -48 = 0 0 + 3m = 60 + -48 3m = 60 + -48 Combine like terms: 60 + -48 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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