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Simplifying 6(8 + n) = -2(n + -8) (8 * 6 + n * 6) = -2(n + -8) (48 + 6n) = -2(n + -8) Reorder the terms: 48 + 6n = -2(-8 + n) 48 + 6n = (-8 * -2 + n * -2) 48 + 6n = (16 + -2n) Solving 48 + 6n = 16 + -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. 48 + 6n + 2n = 16 + -2n + 2n Combine like terms: 6n + 2n = 8n 48 + 8n = 16 + -2n + 2n Combine like terms: -2n + 2n = 0 48 + 8n = 16 + 0 48 + 8n = 16 Add '-48' to each side of the equation. 48 + -48 + 8n = 16 + -48 Combine like terms: 48 + -48 = 0 0 + 8n = 16 + -48 8n = 16 + -48 Combine like terms: 16 + -48 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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