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Simplifying 3 = 5(6n + 3) + -4(8n + 5) Reorder the terms: 3 = 5(3 + 6n) + -4(8n + 5) 3 = (3 * 5 + 6n * 5) + -4(8n + 5) 3 = (15 + 30n) + -4(8n + 5) Reorder the terms: 3 = 15 + 30n + -4(5 + 8n) 3 = 15 + 30n + (5 * -4 + 8n * -4) 3 = 15 + 30n + (-20 + -32n) Reorder the terms: 3 = 15 + -20 + 30n + -32n Combine like terms: 15 + -20 = -5 3 = -5 + 30n + -32n Combine like terms: 30n + -32n = -2n 3 = -5 + -2n Solving 3 = -5 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 3 + 2n = -5 + -2n + 2n Combine like terms: -2n + 2n = 0 3 + 2n = -5 + 0 3 + 2n = -5 Add '-3' to each side of the equation. 3 + -3 + 2n = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = -5 + -3 2n = -5 + -3 Combine like terms: -5 + -3 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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