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Simplifying 7(m + 1) = 9(m + 2) Reorder the terms: 7(1 + m) = 9(m + 2) (1 * 7 + m * 7) = 9(m + 2) (7 + 7m) = 9(m + 2) Reorder the terms: 7 + 7m = 9(2 + m) 7 + 7m = (2 * 9 + m * 9) 7 + 7m = (18 + 9m) Solving 7 + 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. 7 + 7m + -9m = 18 + 9m + -9m Combine like terms: 7m + -9m = -2m 7 + -2m = 18 + 9m + -9m Combine like terms: 9m + -9m = 0 7 + -2m = 18 + 0 7 + -2m = 18 Add '-7' to each side of the equation. 7 + -7 + -2m = 18 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 18 + -7 -2m = 18 + -7 Combine like terms: 18 + -7 = 11 -2m = 11 Divide each side by '-2'. m = -5.5 Simplifying m = -5.5
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