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Simplifying 8(3n + 5) = 72 + -4(5n + -3) Reorder the terms: 8(5 + 3n) = 72 + -4(5n + -3) (5 * 8 + 3n * 8) = 72 + -4(5n + -3) (40 + 24n) = 72 + -4(5n + -3) Reorder the terms: 40 + 24n = 72 + -4(-3 + 5n) 40 + 24n = 72 + (-3 * -4 + 5n * -4) 40 + 24n = 72 + (12 + -20n) Combine like terms: 72 + 12 = 84 40 + 24n = 84 + -20n Solving 40 + 24n = 84 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 40 + 24n + 20n = 84 + -20n + 20n Combine like terms: 24n + 20n = 44n 40 + 44n = 84 + -20n + 20n Combine like terms: -20n + 20n = 0 40 + 44n = 84 + 0 40 + 44n = 84 Add '-40' to each side of the equation. 40 + -40 + 44n = 84 + -40 Combine like terms: 40 + -40 = 0 0 + 44n = 84 + -40 44n = 84 + -40 Combine like terms: 84 + -40 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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