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Simplifying 6(2n + -3) = 3(5m + 7) Reorder the terms: 6(-3 + 2n) = 3(5m + 7) (-3 * 6 + 2n * 6) = 3(5m + 7) (-18 + 12n) = 3(5m + 7) Reorder the terms: -18 + 12n = 3(7 + 5m) -18 + 12n = (7 * 3 + 5m * 3) -18 + 12n = (21 + 15m) Solving -18 + 12n = 21 + 15m Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12n = 21 + 18 + 15m Combine like terms: -18 + 18 = 0 0 + 12n = 21 + 18 + 15m 12n = 21 + 18 + 15m Combine like terms: 21 + 18 = 39 12n = 39 + 15m Divide each side by '12'. n = 3.25 + 1.25m Simplifying n = 3.25 + 1.25m
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