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Simplifying 5(3n + 1) = 7(5n + 3) + 7 Reorder the terms: 5(1 + 3n) = 7(5n + 3) + 7 (1 * 5 + 3n * 5) = 7(5n + 3) + 7 (5 + 15n) = 7(5n + 3) + 7 Reorder the terms: 5 + 15n = 7(3 + 5n) + 7 5 + 15n = (3 * 7 + 5n * 7) + 7 5 + 15n = (21 + 35n) + 7 Reorder the terms: 5 + 15n = 21 + 7 + 35n Combine like terms: 21 + 7 = 28 5 + 15n = 28 + 35n Solving 5 + 15n = 28 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 5 + 15n + -35n = 28 + 35n + -35n Combine like terms: 15n + -35n = -20n 5 + -20n = 28 + 35n + -35n Combine like terms: 35n + -35n = 0 5 + -20n = 28 + 0 5 + -20n = 28 Add '-5' to each side of the equation. 5 + -5 + -20n = 28 + -5 Combine like terms: 5 + -5 = 0 0 + -20n = 28 + -5 -20n = 28 + -5 Combine like terms: 28 + -5 = 23 -20n = 23 Divide each side by '-20'. n = -1.15 Simplifying n = -1.15
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