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Simplifying 9(m + 2) = 6(m + 7) Reorder the terms: 9(2 + m) = 6(m + 7) (2 * 9 + m * 9) = 6(m + 7) (18 + 9m) = 6(m + 7) Reorder the terms: 18 + 9m = 6(7 + m) 18 + 9m = (7 * 6 + m * 6) 18 + 9m = (42 + 6m) Solving 18 + 9m = 42 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 18 + 9m + -6m = 42 + 6m + -6m Combine like terms: 9m + -6m = 3m 18 + 3m = 42 + 6m + -6m Combine like terms: 6m + -6m = 0 18 + 3m = 42 + 0 18 + 3m = 42 Add '-18' to each side of the equation. 18 + -18 + 3m = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 3m = 42 + -18 3m = 42 + -18 Combine like terms: 42 + -18 = 24 3m = 24 Divide each side by '3'. m = 8 Simplifying m = 8
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