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Simplifying 29 = 7(5m + -2) + 2(m + 3) Reorder the terms: 29 = 7(-2 + 5m) + 2(m + 3) 29 = (-2 * 7 + 5m * 7) + 2(m + 3) 29 = (-14 + 35m) + 2(m + 3) Reorder the terms: 29 = -14 + 35m + 2(3 + m) 29 = -14 + 35m + (3 * 2 + m * 2) 29 = -14 + 35m + (6 + 2m) Reorder the terms: 29 = -14 + 6 + 35m + 2m Combine like terms: -14 + 6 = -8 29 = -8 + 35m + 2m Combine like terms: 35m + 2m = 37m 29 = -8 + 37m Solving 29 = -8 + 37m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-37m' to each side of the equation. 29 + -37m = -8 + 37m + -37m Combine like terms: 37m + -37m = 0 29 + -37m = -8 + 0 29 + -37m = -8 Add '-29' to each side of the equation. 29 + -29 + -37m = -8 + -29 Combine like terms: 29 + -29 = 0 0 + -37m = -8 + -29 -37m = -8 + -29 Combine like terms: -8 + -29 = -37 -37m = -37 Divide each side by '-37'. m = 1 Simplifying m = 1
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