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Simplifying -3 = -5(1 + 5n) + -1(-2 + -8n) -3 = (1 * -5 + 5n * -5) + -1(-2 + -8n) -3 = (-5 + -25n) + -1(-2 + -8n) -3 = -5 + -25n + (-2 * -1 + -8n * -1) -3 = -5 + -25n + (2 + 8n) Reorder the terms: -3 = -5 + 2 + -25n + 8n Combine like terms: -5 + 2 = -3 -3 = -3 + -25n + 8n Combine like terms: -25n + 8n = -17n -3 = -3 + -17n Add '3' to each side of the equation. -3 + 3 = -3 + 3 + -17n Combine like terms: -3 + 3 = 0 0 = -3 + 3 + -17n Combine like terms: -3 + 3 = 0 0 = 0 + -17n 0 = -17n Solving 0 = -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. 0 + 17n = -17n + 17n Remove the zero: 17n = -17n + 17n Combine like terms: -17n + 17n = 0 17n = 0 Divide each side by '17'. n = 0 Simplifying n = 0
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