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Simplifying 5(3n + 1) = 7(4n + 5) + 5 Reorder the terms: 5(1 + 3n) = 7(4n + 5) + 5 (1 * 5 + 3n * 5) = 7(4n + 5) + 5 (5 + 15n) = 7(4n + 5) + 5 Reorder the terms: 5 + 15n = 7(5 + 4n) + 5 5 + 15n = (5 * 7 + 4n * 7) + 5 5 + 15n = (35 + 28n) + 5 Reorder the terms: 5 + 15n = 35 + 5 + 28n Combine like terms: 35 + 5 = 40 5 + 15n = 40 + 28n Solving 5 + 15n = 40 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 5 + 15n + -28n = 40 + 28n + -28n Combine like terms: 15n + -28n = -13n 5 + -13n = 40 + 28n + -28n Combine like terms: 28n + -28n = 0 5 + -13n = 40 + 0 5 + -13n = 40 Add '-5' to each side of the equation. 5 + -5 + -13n = 40 + -5 Combine like terms: 5 + -5 = 0 0 + -13n = 40 + -5 -13n = 40 + -5 Combine like terms: 40 + -5 = 35 -13n = 35 Divide each side by '-13'. n = -2.692307692 Simplifying n = -2.692307692
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