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Simplifying -2(-3m + 6) + 7(m + 2) = 0 Reorder the terms: -2(6 + -3m) + 7(m + 2) = 0 (6 * -2 + -3m * -2) + 7(m + 2) = 0 (-12 + 6m) + 7(m + 2) = 0 Reorder the terms: -12 + 6m + 7(2 + m) = 0 -12 + 6m + (2 * 7 + m * 7) = 0 -12 + 6m + (14 + 7m) = 0 Reorder the terms: -12 + 14 + 6m + 7m = 0 Combine like terms: -12 + 14 = 2 2 + 6m + 7m = 0 Combine like terms: 6m + 7m = 13m 2 + 13m = 0 Solving 2 + 13m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13m = 0 + -2 13m = 0 + -2 Combine like terms: 0 + -2 = -2 13m = -2 Divide each side by '13'. m = -0.1538461538 Simplifying m = -0.1538461538
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