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Simplifying 5(m + 7) + -3(m + 2) = 0 Reorder the terms: 5(7 + m) + -3(m + 2) = 0 (7 * 5 + m * 5) + -3(m + 2) = 0 (35 + 5m) + -3(m + 2) = 0 Reorder the terms: 35 + 5m + -3(2 + m) = 0 35 + 5m + (2 * -3 + m * -3) = 0 35 + 5m + (-6 + -3m) = 0 Reorder the terms: 35 + -6 + 5m + -3m = 0 Combine like terms: 35 + -6 = 29 29 + 5m + -3m = 0 Combine like terms: 5m + -3m = 2m 29 + 2m = 0 Solving 29 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 2m = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 2m = 0 + -29 2m = 0 + -29 Combine like terms: 0 + -29 = -29 2m = -29 Divide each side by '2'. m = -14.5 Simplifying m = -14.5
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