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Simplifying 6(n + 4) = -1(2n + -8) Reorder the terms: 6(4 + n) = -1(2n + -8) (4 * 6 + n * 6) = -1(2n + -8) (24 + 6n) = -1(2n + -8) Reorder the terms: 24 + 6n = -1(-8 + 2n) 24 + 6n = (-8 * -1 + 2n * -1) 24 + 6n = (8 + -2n) Solving 24 + 6n = 8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 24 + 6n + 2n = 8 + -2n + 2n Combine like terms: 6n + 2n = 8n 24 + 8n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 24 + 8n = 8 + 0 24 + 8n = 8 Add '-24' to each side of the equation. 24 + -24 + 8n = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 8 + -24 8n = 8 + -24 Combine like terms: 8 + -24 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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