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Simplifying 5(m + 3) + -3(2m + 9) = 0 Reorder the terms: 5(3 + m) + -3(2m + 9) = 0 (3 * 5 + m * 5) + -3(2m + 9) = 0 (15 + 5m) + -3(2m + 9) = 0 Reorder the terms: 15 + 5m + -3(9 + 2m) = 0 15 + 5m + (9 * -3 + 2m * -3) = 0 15 + 5m + (-27 + -6m) = 0 Reorder the terms: 15 + -27 + 5m + -6m = 0 Combine like terms: 15 + -27 = -12 -12 + 5m + -6m = 0 Combine like terms: 5m + -6m = -1m -12 + -1m = 0 Solving -12 + -1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1m = 0 + 12 -1m = 0 + 12 Combine like terms: 0 + 12 = 12 -1m = 12 Divide each side by '-1'. m = -12 Simplifying m = -12
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