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Simplifying 6(5 + -3m) + 3(5m + -4) = 0 (5 * 6 + -3m * 6) + 3(5m + -4) = 0 (30 + -18m) + 3(5m + -4) = 0 Reorder the terms: 30 + -18m + 3(-4 + 5m) = 0 30 + -18m + (-4 * 3 + 5m * 3) = 0 30 + -18m + (-12 + 15m) = 0 Reorder the terms: 30 + -12 + -18m + 15m = 0 Combine like terms: 30 + -12 = 18 18 + -18m + 15m = 0 Combine like terms: -18m + 15m = -3m 18 + -3m = 0 Solving 18 + -3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -3m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3m = 0 + -18 -3m = 0 + -18 Combine like terms: 0 + -18 = -18 -3m = -18 Divide each side by '-3'. m = 6 Simplifying m = 6
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