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Simplifying 6(6 + -1n) = -3(n + -8) (6 * 6 + -1n * 6) = -3(n + -8) (36 + -6n) = -3(n + -8) Reorder the terms: 36 + -6n = -3(-8 + n) 36 + -6n = (-8 * -3 + n * -3) 36 + -6n = (24 + -3n) Solving 36 + -6n = 24 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 36 + -6n + 3n = 24 + -3n + 3n Combine like terms: -6n + 3n = -3n 36 + -3n = 24 + -3n + 3n Combine like terms: -3n + 3n = 0 36 + -3n = 24 + 0 36 + -3n = 24 Add '-36' to each side of the equation. 36 + -36 + -3n = 24 + -36 Combine like terms: 36 + -36 = 0 0 + -3n = 24 + -36 -3n = 24 + -36 Combine like terms: 24 + -36 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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