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Simplifying 8(n + -6) = 2(n + 12) Reorder the terms: 8(-6 + n) = 2(n + 12) (-6 * 8 + n * 8) = 2(n + 12) (-48 + 8n) = 2(n + 12) Reorder the terms: -48 + 8n = 2(12 + n) -48 + 8n = (12 * 2 + n * 2) -48 + 8n = (24 + 2n) Solving -48 + 8n = 24 + 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 + 8n + -2n = 24 + 2n + -2n Combine like terms: 8n + -2n = 6n -48 + 6n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 -48 + 6n = 24 + 0 -48 + 6n = 24 Add '48' to each side of the equation. -48 + 48 + 6n = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 6n = 24 + 48 6n = 24 + 48 Combine like terms: 24 + 48 = 72 6n = 72 Divide each side by '6'. n = 12 Simplifying n = 12
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