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Simplifying 4(m + 6) + 3(3 + 5m) = 0 Reorder the terms: 4(6 + m) + 3(3 + 5m) = 0 (6 * 4 + m * 4) + 3(3 + 5m) = 0 (24 + 4m) + 3(3 + 5m) = 0 24 + 4m + (3 * 3 + 5m * 3) = 0 24 + 4m + (9 + 15m) = 0 Reorder the terms: 24 + 9 + 4m + 15m = 0 Combine like terms: 24 + 9 = 33 33 + 4m + 15m = 0 Combine like terms: 4m + 15m = 19m 33 + 19m = 0 Solving 33 + 19m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 19m = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 19m = 0 + -33 19m = 0 + -33 Combine like terms: 0 + -33 = -33 19m = -33 Divide each side by '19'. m = -1.736842105 Simplifying m = -1.736842105
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