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Simplifying 8(m + 7) = 7m + 6(m + 6) Reorder the terms: 8(7 + m) = 7m + 6(m + 6) (7 * 8 + m * 8) = 7m + 6(m + 6) (56 + 8m) = 7m + 6(m + 6) Reorder the terms: 56 + 8m = 7m + 6(6 + m) 56 + 8m = 7m + (6 * 6 + m * 6) 56 + 8m = 7m + (36 + 6m) Reorder the terms: 56 + 8m = 36 + 7m + 6m Combine like terms: 7m + 6m = 13m 56 + 8m = 36 + 13m Solving 56 + 8m = 36 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. 56 + 8m + -13m = 36 + 13m + -13m Combine like terms: 8m + -13m = -5m 56 + -5m = 36 + 13m + -13m Combine like terms: 13m + -13m = 0 56 + -5m = 36 + 0 56 + -5m = 36 Add '-56' to each side of the equation. 56 + -56 + -5m = 36 + -56 Combine like terms: 56 + -56 = 0 0 + -5m = 36 + -56 -5m = 36 + -56 Combine like terms: 36 + -56 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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