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Simplifying 2(5m + 3) + -3(m + -2) = 0 Reorder the terms: 2(3 + 5m) + -3(m + -2) = 0 (3 * 2 + 5m * 2) + -3(m + -2) = 0 (6 + 10m) + -3(m + -2) = 0 Reorder the terms: 6 + 10m + -3(-2 + m) = 0 6 + 10m + (-2 * -3 + m * -3) = 0 6 + 10m + (6 + -3m) = 0 Reorder the terms: 6 + 6 + 10m + -3m = 0 Combine like terms: 6 + 6 = 12 12 + 10m + -3m = 0 Combine like terms: 10m + -3m = 7m 12 + 7m = 0 Solving 12 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7m = 0 + -12 7m = 0 + -12 Combine like terms: 0 + -12 = -12 7m = -12 Divide each side by '7'. m = -1.714285714 Simplifying m = -1.714285714
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