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Simplifying 6(n + -8) = 4(12 + -5n) + 14 Reorder the terms: 6(-8 + n) = 4(12 + -5n) + 14 (-8 * 6 + n * 6) = 4(12 + -5n) + 14 (-48 + 6n) = 4(12 + -5n) + 14 -48 + 6n = (12 * 4 + -5n * 4) + 14 -48 + 6n = (48 + -20n) + 14 Reorder the terms: -48 + 6n = 48 + 14 + -20n Combine like terms: 48 + 14 = 62 -48 + 6n = 62 + -20n Solving -48 + 6n = 62 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -48 + 6n + 20n = 62 + -20n + 20n Combine like terms: 6n + 20n = 26n -48 + 26n = 62 + -20n + 20n Combine like terms: -20n + 20n = 0 -48 + 26n = 62 + 0 -48 + 26n = 62 Add '48' to each side of the equation. -48 + 48 + 26n = 62 + 48 Combine like terms: -48 + 48 = 0 0 + 26n = 62 + 48 26n = 62 + 48 Combine like terms: 62 + 48 = 110 26n = 110 Divide each side by '26'. n = 4.230769231 Simplifying n = 4.230769231
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