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Simplifying 8n + -1(-5n + 3) = 2n + -5(-3n + -5) Reorder the terms: 8n + -1(3 + -5n) = 2n + -5(-3n + -5) 8n + (3 * -1 + -5n * -1) = 2n + -5(-3n + -5) 8n + (-3 + 5n) = 2n + -5(-3n + -5) Reorder the terms: -3 + 8n + 5n = 2n + -5(-3n + -5) Combine like terms: 8n + 5n = 13n -3 + 13n = 2n + -5(-3n + -5) Reorder the terms: -3 + 13n = 2n + -5(-5 + -3n) -3 + 13n = 2n + (-5 * -5 + -3n * -5) -3 + 13n = 2n + (25 + 15n) Reorder the terms: -3 + 13n = 25 + 2n + 15n Combine like terms: 2n + 15n = 17n -3 + 13n = 25 + 17n Solving -3 + 13n = 25 + 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. -3 + 13n + -17n = 25 + 17n + -17n Combine like terms: 13n + -17n = -4n -3 + -4n = 25 + 17n + -17n Combine like terms: 17n + -17n = 0 -3 + -4n = 25 + 0 -3 + -4n = 25 Add '3' to each side of the equation. -3 + 3 + -4n = 25 + 3 Combine like terms: -3 + 3 = 0 0 + -4n = 25 + 3 -4n = 25 + 3 Combine like terms: 25 + 3 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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