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Simplifying 3(n + -8) + -6n = 3(m + 6) Reorder the terms: 3(-8 + n) + -6n = 3(m + 6) (-8 * 3 + n * 3) + -6n = 3(m + 6) (-24 + 3n) + -6n = 3(m + 6) Combine like terms: 3n + -6n = -3n -24 + -3n = 3(m + 6) Reorder the terms: -24 + -3n = 3(6 + m) -24 + -3n = (6 * 3 + m * 3) -24 + -3n = (18 + 3m) Solving -24 + -3n = 18 + 3m Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -3n = 18 + 24 + 3m Combine like terms: -24 + 24 = 0 0 + -3n = 18 + 24 + 3m -3n = 18 + 24 + 3m Combine like terms: 18 + 24 = 42 -3n = 42 + 3m Divide each side by '-3'. n = -14 + -1m Simplifying n = -14 + -1m
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