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Simplifying 5(3m + -2) + 3(m + 4) = 0 Reorder the terms: 5(-2 + 3m) + 3(m + 4) = 0 (-2 * 5 + 3m * 5) + 3(m + 4) = 0 (-10 + 15m) + 3(m + 4) = 0 Reorder the terms: -10 + 15m + 3(4 + m) = 0 -10 + 15m + (4 * 3 + m * 3) = 0 -10 + 15m + (12 + 3m) = 0 Reorder the terms: -10 + 12 + 15m + 3m = 0 Combine like terms: -10 + 12 = 2 2 + 15m + 3m = 0 Combine like terms: 15m + 3m = 18m 2 + 18m = 0 Solving 2 + 18m = 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 + 18m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 18m = 0 + -2 18m = 0 + -2 Combine like terms: 0 + -2 = -2 18m = -2 Divide each side by '18'. m = -0.1111111111 Simplifying m = -0.1111111111
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