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Simplifying 12(m + 9) + -8(3m + -6) = 0 Reorder the terms: 12(9 + m) + -8(3m + -6) = 0 (9 * 12 + m * 12) + -8(3m + -6) = 0 (108 + 12m) + -8(3m + -6) = 0 Reorder the terms: 108 + 12m + -8(-6 + 3m) = 0 108 + 12m + (-6 * -8 + 3m * -8) = 0 108 + 12m + (48 + -24m) = 0 Reorder the terms: 108 + 48 + 12m + -24m = 0 Combine like terms: 108 + 48 = 156 156 + 12m + -24m = 0 Combine like terms: 12m + -24m = -12m 156 + -12m = 0 Solving 156 + -12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-156' to each side of the equation. 156 + -156 + -12m = 0 + -156 Combine like terms: 156 + -156 = 0 0 + -12m = 0 + -156 -12m = 0 + -156 Combine like terms: 0 + -156 = -156 -12m = -156 Divide each side by '-12'. m = 13 Simplifying m = 13
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