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Simplifying 3(m + 5) + 2(4m + -7) = 0 Reorder the terms: 3(5 + m) + 2(4m + -7) = 0 (5 * 3 + m * 3) + 2(4m + -7) = 0 (15 + 3m) + 2(4m + -7) = 0 Reorder the terms: 15 + 3m + 2(-7 + 4m) = 0 15 + 3m + (-7 * 2 + 4m * 2) = 0 15 + 3m + (-14 + 8m) = 0 Reorder the terms: 15 + -14 + 3m + 8m = 0 Combine like terms: 15 + -14 = 1 1 + 3m + 8m = 0 Combine like terms: 3m + 8m = 11m 1 + 11m = 0 Solving 1 + 11m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11m = 0 + -1 11m = 0 + -1 Combine like terms: 0 + -1 = -1 11m = -1 Divide each side by '11'. m = -0.09090909091 Simplifying m = -0.09090909091
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