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Simplifying 6(n + -6) = 8(n + 2) Reorder the terms: 6(-6 + n) = 8(n + 2) (-6 * 6 + n * 6) = 8(n + 2) (-36 + 6n) = 8(n + 2) Reorder the terms: -36 + 6n = 8(2 + n) -36 + 6n = (2 * 8 + n * 8) -36 + 6n = (16 + 8n) Solving -36 + 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. -36 + 6n + -8n = 16 + 8n + -8n Combine like terms: 6n + -8n = -2n -36 + -2n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 -36 + -2n = 16 + 0 -36 + -2n = 16 Add '36' to each side of the equation. -36 + 36 + -2n = 16 + 36 Combine like terms: -36 + 36 = 0 0 + -2n = 16 + 36 -2n = 16 + 36 Combine like terms: 16 + 36 = 52 -2n = 52 Divide each side by '-2'. n = -26 Simplifying n = -26
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