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Simplifying 5(n + 6) = 4(5n + 4) Reorder the terms: 5(6 + n) = 4(5n + 4) (6 * 5 + n * 5) = 4(5n + 4) (30 + 5n) = 4(5n + 4) Reorder the terms: 30 + 5n = 4(4 + 5n) 30 + 5n = (4 * 4 + 5n * 4) 30 + 5n = (16 + 20n) Solving 30 + 5n = 16 + 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. 30 + 5n + -20n = 16 + 20n + -20n Combine like terms: 5n + -20n = -15n 30 + -15n = 16 + 20n + -20n Combine like terms: 20n + -20n = 0 30 + -15n = 16 + 0 30 + -15n = 16 Add '-30' to each side of the equation. 30 + -30 + -15n = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -15n = 16 + -30 -15n = 16 + -30 Combine like terms: 16 + -30 = -14 -15n = -14 Divide each side by '-15'. n = 0.9333333333 Simplifying n = 0.9333333333
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