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Simplifying 7 + -2(2n + -1) + -13(n + -1) = -8n + 59 Reorder the terms: 7 + -2(-1 + 2n) + -13(n + -1) = -8n + 59 7 + (-1 * -2 + 2n * -2) + -13(n + -1) = -8n + 59 7 + (2 + -4n) + -13(n + -1) = -8n + 59 Reorder the terms: 7 + 2 + -4n + -13(-1 + n) = -8n + 59 7 + 2 + -4n + (-1 * -13 + n * -13) = -8n + 59 7 + 2 + -4n + (13 + -13n) = -8n + 59 Reorder the terms: 7 + 2 + 13 + -4n + -13n = -8n + 59 Combine like terms: 7 + 2 = 9 9 + 13 + -4n + -13n = -8n + 59 Combine like terms: 9 + 13 = 22 22 + -4n + -13n = -8n + 59 Combine like terms: -4n + -13n = -17n 22 + -17n = -8n + 59 Reorder the terms: 22 + -17n = 59 + -8n Solving 22 + -17n = 59 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 22 + -17n + 8n = 59 + -8n + 8n Combine like terms: -17n + 8n = -9n 22 + -9n = 59 + -8n + 8n Combine like terms: -8n + 8n = 0 22 + -9n = 59 + 0 22 + -9n = 59 Add '-22' to each side of the equation. 22 + -22 + -9n = 59 + -22 Combine like terms: 22 + -22 = 0 0 + -9n = 59 + -22 -9n = 59 + -22 Combine like terms: 59 + -22 = 37 -9n = 37 Divide each side by '-9'. n = -4.111111111 Simplifying n = -4.111111111
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