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Simplifying -8n + 5(2 + -7n) = 8(-7n + -2) -8n + (2 * 5 + -7n * 5) = 8(-7n + -2) -8n + (10 + -35n) = 8(-7n + -2) Reorder the terms: 10 + -8n + -35n = 8(-7n + -2) Combine like terms: -8n + -35n = -43n 10 + -43n = 8(-7n + -2) Reorder the terms: 10 + -43n = 8(-2 + -7n) 10 + -43n = (-2 * 8 + -7n * 8) 10 + -43n = (-16 + -56n) Solving 10 + -43n = -16 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 10 + -43n + 56n = -16 + -56n + 56n Combine like terms: -43n + 56n = 13n 10 + 13n = -16 + -56n + 56n Combine like terms: -56n + 56n = 0 10 + 13n = -16 + 0 10 + 13n = -16 Add '-10' to each side of the equation. 10 + -10 + 13n = -16 + -10 Combine like terms: 10 + -10 = 0 0 + 13n = -16 + -10 13n = -16 + -10 Combine like terms: -16 + -10 = -26 13n = -26 Divide each side by '13'. n = -2 Simplifying n = -2
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