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Simplifying -3(5m + 9) + 3(m + -6) = 0 Reorder the terms: -3(9 + 5m) + 3(m + -6) = 0 (9 * -3 + 5m * -3) + 3(m + -6) = 0 (-27 + -15m) + 3(m + -6) = 0 Reorder the terms: -27 + -15m + 3(-6 + m) = 0 -27 + -15m + (-6 * 3 + m * 3) = 0 -27 + -15m + (-18 + 3m) = 0 Reorder the terms: -27 + -18 + -15m + 3m = 0 Combine like terms: -27 + -18 = -45 -45 + -15m + 3m = 0 Combine like terms: -15m + 3m = -12m -45 + -12m = 0 Solving -45 + -12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -12m = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -12m = 0 + 45 -12m = 0 + 45 Combine like terms: 0 + 45 = 45 -12m = 45 Divide each side by '-12'. m = -3.75 Simplifying m = -3.75
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