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Simplifying 8 + 7(n + 5) = 4(8 + -1n) Reorder the terms: 8 + 7(5 + n) = 4(8 + -1n) 8 + (5 * 7 + n * 7) = 4(8 + -1n) 8 + (35 + 7n) = 4(8 + -1n) Combine like terms: 8 + 35 = 43 43 + 7n = 4(8 + -1n) 43 + 7n = (8 * 4 + -1n * 4) 43 + 7n = (32 + -4n) Solving 43 + 7n = 32 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 43 + 7n + 4n = 32 + -4n + 4n Combine like terms: 7n + 4n = 11n 43 + 11n = 32 + -4n + 4n Combine like terms: -4n + 4n = 0 43 + 11n = 32 + 0 43 + 11n = 32 Add '-43' to each side of the equation. 43 + -43 + 11n = 32 + -43 Combine like terms: 43 + -43 = 0 0 + 11n = 32 + -43 11n = 32 + -43 Combine like terms: 32 + -43 = -11 11n = -11 Divide each side by '11'. n = -1 Simplifying n = -1
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