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Simplifying 4(n + 5) = 3(2n + 10) Reorder the terms: 4(5 + n) = 3(2n + 10) (5 * 4 + n * 4) = 3(2n + 10) (20 + 4n) = 3(2n + 10) Reorder the terms: 20 + 4n = 3(10 + 2n) 20 + 4n = (10 * 3 + 2n * 3) 20 + 4n = (30 + 6n) Solving 20 + 4n = 30 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 20 + 4n + -6n = 30 + 6n + -6n Combine like terms: 4n + -6n = -2n 20 + -2n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 20 + -2n = 30 + 0 20 + -2n = 30 Add '-20' to each side of the equation. 20 + -20 + -2n = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -2n = 30 + -20 -2n = 30 + -20 Combine like terms: 30 + -20 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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