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Simplifying 8(m + 7) = 9(m) Reorder the terms: 8(7 + m) = 9(m) (7 * 8 + m * 8) = 9(m) (56 + 8m) = 9(m) Solving 56 + 8m = 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 56 + 8m + -9m = 9m + -9m Combine like terms: 8m + -9m = -1m 56 + -1m = 9m + -9m Combine like terms: 9m + -9m = 0 56 + -1m = 0 Add '-56' to each side of the equation. 56 + -56 + -1m = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -1m = 0 + -56 -1m = 0 + -56 Combine like terms: 0 + -56 = -56 -1m = -56 Divide each side by '-1'. m = 56 Simplifying m = 56
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