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Simplifying 7(m + 7) = 9(m + 2) Reorder the terms: 7(7 + m) = 9(m + 2) (7 * 7 + m * 7) = 9(m + 2) (49 + 7m) = 9(m + 2) Reorder the terms: 49 + 7m = 9(2 + m) 49 + 7m = (2 * 9 + m * 9) 49 + 7m = (18 + 9m) Solving 49 + 7m = 18 + 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. 49 + 7m + -9m = 18 + 9m + -9m Combine like terms: 7m + -9m = -2m 49 + -2m = 18 + 9m + -9m Combine like terms: 9m + -9m = 0 49 + -2m = 18 + 0 49 + -2m = 18 Add '-49' to each side of the equation. 49 + -49 + -2m = 18 + -49 Combine like terms: 49 + -49 = 0 0 + -2m = 18 + -49 -2m = 18 + -49 Combine like terms: 18 + -49 = -31 -2m = -31 Divide each side by '-2'. m = 15.5 Simplifying m = 15.5
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