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Simplifying 3(m + 6) + 7(m + -2) = 0 Reorder the terms: 3(6 + m) + 7(m + -2) = 0 (6 * 3 + m * 3) + 7(m + -2) = 0 (18 + 3m) + 7(m + -2) = 0 Reorder the terms: 18 + 3m + 7(-2 + m) = 0 18 + 3m + (-2 * 7 + m * 7) = 0 18 + 3m + (-14 + 7m) = 0 Reorder the terms: 18 + -14 + 3m + 7m = 0 Combine like terms: 18 + -14 = 4 4 + 3m + 7m = 0 Combine like terms: 3m + 7m = 10m 4 + 10m = 0 Solving 4 + 10m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10m = 0 + -4 10m = 0 + -4 Combine like terms: 0 + -4 = -4 10m = -4 Divide each side by '10'. m = -0.4 Simplifying m = -0.4
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