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Simplifying 7 + -2(n + -1) + -13(n + 1) = -8n + 59n Reorder the terms: 7 + -2(-1 + n) + -13(n + 1) = -8n + 59n 7 + (-1 * -2 + n * -2) + -13(n + 1) = -8n + 59n 7 + (2 + -2n) + -13(n + 1) = -8n + 59n Reorder the terms: 7 + 2 + -2n + -13(1 + n) = -8n + 59n 7 + 2 + -2n + (1 * -13 + n * -13) = -8n + 59n 7 + 2 + -2n + (-13 + -13n) = -8n + 59n Reorder the terms: 7 + 2 + -13 + -2n + -13n = -8n + 59n Combine like terms: 7 + 2 = 9 9 + -13 + -2n + -13n = -8n + 59n Combine like terms: 9 + -13 = -4 -4 + -2n + -13n = -8n + 59n Combine like terms: -2n + -13n = -15n -4 + -15n = -8n + 59n Combine like terms: -8n + 59n = 51n -4 + -15n = 51n Solving -4 + -15n = 51n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-51n' to each side of the equation. -4 + -15n + -51n = 51n + -51n Combine like terms: -15n + -51n = -66n -4 + -66n = 51n + -51n Combine like terms: 51n + -51n = 0 -4 + -66n = 0 Add '4' to each side of the equation. -4 + 4 + -66n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -66n = 0 + 4 -66n = 0 + 4 Combine like terms: 0 + 4 = 4 -66n = 4 Divide each side by '-66'. n = -0.06060606061 Simplifying n = -0.06060606061
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