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Simplifying 8n + 3(3 + -4n) = 5(5n + -4) 8n + (3 * 3 + -4n * 3) = 5(5n + -4) 8n + (9 + -12n) = 5(5n + -4) Reorder the terms: 9 + 8n + -12n = 5(5n + -4) Combine like terms: 8n + -12n = -4n 9 + -4n = 5(5n + -4) Reorder the terms: 9 + -4n = 5(-4 + 5n) 9 + -4n = (-4 * 5 + 5n * 5) 9 + -4n = (-20 + 25n) Solving 9 + -4n = -20 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 9 + -4n + -25n = -20 + 25n + -25n Combine like terms: -4n + -25n = -29n 9 + -29n = -20 + 25n + -25n Combine like terms: 25n + -25n = 0 9 + -29n = -20 + 0 9 + -29n = -20 Add '-9' to each side of the equation. 9 + -9 + -29n = -20 + -9 Combine like terms: 9 + -9 = 0 0 + -29n = -20 + -9 -29n = -20 + -9 Combine like terms: -20 + -9 = -29 -29n = -29 Divide each side by '-29'. n = 1 Simplifying n = 1
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