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Simplifying -12n + 6(n + 8) = 8(-1n + 2) Reorder the terms: -12n + 6(8 + n) = 8(-1n + 2) -12n + (8 * 6 + n * 6) = 8(-1n + 2) -12n + (48 + 6n) = 8(-1n + 2) Reorder the terms: 48 + -12n + 6n = 8(-1n + 2) Combine like terms: -12n + 6n = -6n 48 + -6n = 8(-1n + 2) Reorder the terms: 48 + -6n = 8(2 + -1n) 48 + -6n = (2 * 8 + -1n * 8) 48 + -6n = (16 + -8n) Solving 48 + -6n = 16 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 48 + -6n + 8n = 16 + -8n + 8n Combine like terms: -6n + 8n = 2n 48 + 2n = 16 + -8n + 8n Combine like terms: -8n + 8n = 0 48 + 2n = 16 + 0 48 + 2n = 16 Add '-48' to each side of the equation. 48 + -48 + 2n = 16 + -48 Combine like terms: 48 + -48 = 0 0 + 2n = 16 + -48 2n = 16 + -48 Combine like terms: 16 + -48 = -32 2n = -32 Divide each side by '2'. n = -16 Simplifying n = -16
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