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Simplifying -227 = -6(2 + -7n) + n -227 = (2 * -6 + -7n * -6) + n -227 = (-12 + 42n) + n Combine like terms: 42n + n = 43n -227 = -12 + 43n Solving -227 = -12 + 43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-43n' to each side of the equation. -227 + -43n = -12 + 43n + -43n Combine like terms: 43n + -43n = 0 -227 + -43n = -12 + 0 -227 + -43n = -12 Add '227' to each side of the equation. -227 + 227 + -43n = -12 + 227 Combine like terms: -227 + 227 = 0 0 + -43n = -12 + 227 -43n = -12 + 227 Combine like terms: -12 + 227 = 215 -43n = 215 Divide each side by '-43'. n = -5 Simplifying n = -5
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