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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 = -4 -4 + -4n + -13n = -8n + 59 Combine like terms: -4n + -13n = -17n -4 + -17n = -8n + 59 Reorder the terms: -4 + -17n = 59 + -8n Solving -4 + -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. -4 + -17n + 8n = 59 + -8n + 8n Combine like terms: -17n + 8n = -9n -4 + -9n = 59 + -8n + 8n Combine like terms: -8n + 8n = 0 -4 + -9n = 59 + 0 -4 + -9n = 59 Add '4' to each side of the equation. -4 + 4 + -9n = 59 + 4 Combine like terms: -4 + 4 = 0 0 + -9n = 59 + 4 -9n = 59 + 4 Combine like terms: 59 + 4 = 63 -9n = 63 Divide each side by '-9'. n = -7 Simplifying n = -7
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