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Simplifying 5(3n + 3) = 8(4n + 9) + 1 Reorder the terms: 5(3 + 3n) = 8(4n + 9) + 1 (3 * 5 + 3n * 5) = 8(4n + 9) + 1 (15 + 15n) = 8(4n + 9) + 1 Reorder the terms: 15 + 15n = 8(9 + 4n) + 1 15 + 15n = (9 * 8 + 4n * 8) + 1 15 + 15n = (72 + 32n) + 1 Reorder the terms: 15 + 15n = 72 + 1 + 32n Combine like terms: 72 + 1 = 73 15 + 15n = 73 + 32n Solving 15 + 15n = 73 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 15 + 15n + -32n = 73 + 32n + -32n Combine like terms: 15n + -32n = -17n 15 + -17n = 73 + 32n + -32n Combine like terms: 32n + -32n = 0 15 + -17n = 73 + 0 15 + -17n = 73 Add '-15' to each side of the equation. 15 + -15 + -17n = 73 + -15 Combine like terms: 15 + -15 = 0 0 + -17n = 73 + -15 -17n = 73 + -15 Combine like terms: 73 + -15 = 58 -17n = 58 Divide each side by '-17'. n = -3.411764706 Simplifying n = -3.411764706
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