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Simplifying 8n + -8(n + -1) = 5 + -1(n + 2) Reorder the terms: 8n + -8(-1 + n) = 5 + -1(n + 2) 8n + (-1 * -8 + n * -8) = 5 + -1(n + 2) 8n + (8 + -8n) = 5 + -1(n + 2) Reorder the terms: 8 + 8n + -8n = 5 + -1(n + 2) Combine like terms: 8n + -8n = 0 8 + 0 = 5 + -1(n + 2) 8 = 5 + -1(n + 2) Reorder the terms: 8 = 5 + -1(2 + n) 8 = 5 + (2 * -1 + n * -1) 8 = 5 + (-2 + -1n) Combine like terms: 5 + -2 = 3 8 = 3 + -1n Solving 8 = 3 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 8 + n = 3 + -1n + n Combine like terms: -1n + n = 0 8 + n = 3 + 0 8 + n = 3 Add '-8' to each side of the equation. 8 + -8 + n = 3 + -8 Combine like terms: 8 + -8 = 0 0 + n = 3 + -8 n = 3 + -8 Combine like terms: 3 + -8 = -5 n = -5 Simplifying n = -5
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