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Simplifying 6(n + 8) = 5(n + -4) Reorder the terms: 6(8 + n) = 5(n + -4) (8 * 6 + n * 6) = 5(n + -4) (48 + 6n) = 5(n + -4) Reorder the terms: 48 + 6n = 5(-4 + n) 48 + 6n = (-4 * 5 + n * 5) 48 + 6n = (-20 + 5n) Solving 48 + 6n = -20 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 48 + 6n + -5n = -20 + 5n + -5n Combine like terms: 6n + -5n = 1n 48 + 1n = -20 + 5n + -5n Combine like terms: 5n + -5n = 0 48 + 1n = -20 + 0 48 + 1n = -20 Add '-48' to each side of the equation. 48 + -48 + 1n = -20 + -48 Combine like terms: 48 + -48 = 0 0 + 1n = -20 + -48 1n = -20 + -48 Combine like terms: -20 + -48 = -68 1n = -68 Divide each side by '1'. n = -68 Simplifying n = -68
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