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Simplifying 2(3m + 5) + -3(m + -2) = 0 Reorder the terms: 2(5 + 3m) + -3(m + -2) = 0 (5 * 2 + 3m * 2) + -3(m + -2) = 0 (10 + 6m) + -3(m + -2) = 0 Reorder the terms: 10 + 6m + -3(-2 + m) = 0 10 + 6m + (-2 * -3 + m * -3) = 0 10 + 6m + (6 + -3m) = 0 Reorder the terms: 10 + 6 + 6m + -3m = 0 Combine like terms: 10 + 6 = 16 16 + 6m + -3m = 0 Combine like terms: 6m + -3m = 3m 16 + 3m = 0 Solving 16 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3m = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3m = 0 + -16 3m = 0 + -16 Combine like terms: 0 + -16 = -16 3m = -16 Divide each side by '3'. m = -5.333333333 Simplifying m = -5.333333333
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