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Simplifying -6(n + -6) = 2(n + 14) Reorder the terms: -6(-6 + n) = 2(n + 14) (-6 * -6 + n * -6) = 2(n + 14) (36 + -6n) = 2(n + 14) Reorder the terms: 36 + -6n = 2(14 + n) 36 + -6n = (14 * 2 + n * 2) 36 + -6n = (28 + 2n) Solving 36 + -6n = 28 + 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. 36 + -6n + -2n = 28 + 2n + -2n Combine like terms: -6n + -2n = -8n 36 + -8n = 28 + 2n + -2n Combine like terms: 2n + -2n = 0 36 + -8n = 28 + 0 36 + -8n = 28 Add '-36' to each side of the equation. 36 + -36 + -8n = 28 + -36 Combine like terms: 36 + -36 = 0 0 + -8n = 28 + -36 -8n = 28 + -36 Combine like terms: 28 + -36 = -8 -8n = -8 Divide each side by '-8'. n = 1 Simplifying n = 1
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