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Simplifying 3(-5m + 39) = 4(3m + 14) Reorder the terms: 3(39 + -5m) = 4(3m + 14) (39 * 3 + -5m * 3) = 4(3m + 14) (117 + -15m) = 4(3m + 14) Reorder the terms: 117 + -15m = 4(14 + 3m) 117 + -15m = (14 * 4 + 3m * 4) 117 + -15m = (56 + 12m) Solving 117 + -15m = 56 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 117 + -15m + -12m = 56 + 12m + -12m Combine like terms: -15m + -12m = -27m 117 + -27m = 56 + 12m + -12m Combine like terms: 12m + -12m = 0 117 + -27m = 56 + 0 117 + -27m = 56 Add '-117' to each side of the equation. 117 + -117 + -27m = 56 + -117 Combine like terms: 117 + -117 = 0 0 + -27m = 56 + -117 -27m = 56 + -117 Combine like terms: 56 + -117 = -61 -27m = -61 Divide each side by '-27'. m = 2.259259259 Simplifying m = 2.259259259
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