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Simplifying 4(8n + 3) + -5 = 2(6n + 8) Reorder the terms: 4(3 + 8n) + -5 = 2(6n + 8) (3 * 4 + 8n * 4) + -5 = 2(6n + 8) (12 + 32n) + -5 = 2(6n + 8) Reorder the terms: 12 + -5 + 32n = 2(6n + 8) Combine like terms: 12 + -5 = 7 7 + 32n = 2(6n + 8) Reorder the terms: 7 + 32n = 2(8 + 6n) 7 + 32n = (8 * 2 + 6n * 2) 7 + 32n = (16 + 12n) Solving 7 + 32n = 16 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 7 + 32n + -12n = 16 + 12n + -12n Combine like terms: 32n + -12n = 20n 7 + 20n = 16 + 12n + -12n Combine like terms: 12n + -12n = 0 7 + 20n = 16 + 0 7 + 20n = 16 Add '-7' to each side of the equation. 7 + -7 + 20n = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 20n = 16 + -7 20n = 16 + -7 Combine like terms: 16 + -7 = 9 20n = 9 Divide each side by '20'. n = 0.45 Simplifying n = 0.45
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