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Simplifying -8n + 8(6n + 6) = 6(-2 + 6n) Reorder the terms: -8n + 8(6 + 6n) = 6(-2 + 6n) -8n + (6 * 8 + 6n * 8) = 6(-2 + 6n) -8n + (48 + 48n) = 6(-2 + 6n) Reorder the terms: 48 + -8n + 48n = 6(-2 + 6n) Combine like terms: -8n + 48n = 40n 48 + 40n = 6(-2 + 6n) 48 + 40n = (-2 * 6 + 6n * 6) 48 + 40n = (-12 + 36n) Solving 48 + 40n = -12 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 48 + 40n + -36n = -12 + 36n + -36n Combine like terms: 40n + -36n = 4n 48 + 4n = -12 + 36n + -36n Combine like terms: 36n + -36n = 0 48 + 4n = -12 + 0 48 + 4n = -12 Add '-48' to each side of the equation. 48 + -48 + 4n = -12 + -48 Combine like terms: 48 + -48 = 0 0 + 4n = -12 + -48 4n = -12 + -48 Combine like terms: -12 + -48 = -60 4n = -60 Divide each side by '4'. n = -15 Simplifying n = -15
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