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Simplifying 2(3m + 4) + 3(m + -5) = 0 Reorder the terms: 2(4 + 3m) + 3(m + -5) = 0 (4 * 2 + 3m * 2) + 3(m + -5) = 0 (8 + 6m) + 3(m + -5) = 0 Reorder the terms: 8 + 6m + 3(-5 + m) = 0 8 + 6m + (-5 * 3 + m * 3) = 0 8 + 6m + (-15 + 3m) = 0 Reorder the terms: 8 + -15 + 6m + 3m = 0 Combine like terms: 8 + -15 = -7 -7 + 6m + 3m = 0 Combine like terms: 6m + 3m = 9m -7 + 9m = 0 Solving -7 + 9m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9m = 0 + 7 9m = 0 + 7 Combine like terms: 0 + 7 = 7 9m = 7 Divide each side by '9'. m = 0.7777777778 Simplifying m = 0.7777777778
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