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Simplifying 7 + n + 1 = 5(1 + -1n) Reorder the terms: 7 + 1 + n = 5(1 + -1n) Combine like terms: 7 + 1 = 8 8 + n = 5(1 + -1n) 8 + n = (1 * 5 + -1n * 5) 8 + n = (5 + -5n) Solving 8 + n = 5 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 8 + n + 5n = 5 + -5n + 5n Combine like terms: n + 5n = 6n 8 + 6n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + 6n = 5 + 0 8 + 6n = 5 Add '-8' to each side of the equation. 8 + -8 + 6n = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 6n = 5 + -8 6n = 5 + -8 Combine like terms: 5 + -8 = -3 6n = -3 Divide each side by '6'. n = -0.5 Simplifying n = -0.5
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