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Simplifying 5(3n + 4) = 4n + 9n + 3 Reorder the terms: 5(4 + 3n) = 4n + 9n + 3 (4 * 5 + 3n * 5) = 4n + 9n + 3 (20 + 15n) = 4n + 9n + 3 Reorder the terms: 20 + 15n = 3 + 4n + 9n Combine like terms: 4n + 9n = 13n 20 + 15n = 3 + 13n Solving 20 + 15n = 3 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 20 + 15n + -13n = 3 + 13n + -13n Combine like terms: 15n + -13n = 2n 20 + 2n = 3 + 13n + -13n Combine like terms: 13n + -13n = 0 20 + 2n = 3 + 0 20 + 2n = 3 Add '-20' to each side of the equation. 20 + -20 + 2n = 3 + -20 Combine like terms: 20 + -20 = 0 0 + 2n = 3 + -20 2n = 3 + -20 Combine like terms: 3 + -20 = -17 2n = -17 Divide each side by '2'. n = -8.5 Simplifying n = -8.5
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