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Simplifying 7(m + 7) = 40 + -2m Reorder the terms: 7(7 + m) = 40 + -2m (7 * 7 + m * 7) = 40 + -2m (49 + 7m) = 40 + -2m Solving 49 + 7m = 40 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 49 + 7m + 2m = 40 + -2m + 2m Combine like terms: 7m + 2m = 9m 49 + 9m = 40 + -2m + 2m Combine like terms: -2m + 2m = 0 49 + 9m = 40 + 0 49 + 9m = 40 Add '-49' to each side of the equation. 49 + -49 + 9m = 40 + -49 Combine like terms: 49 + -49 = 0 0 + 9m = 40 + -49 9m = 40 + -49 Combine like terms: 40 + -49 = -9 9m = -9 Divide each side by '9'. m = -1 Simplifying m = -1
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