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Simplifying 5(3n + 2) = 6(7n + 4) + 7 Reorder the terms: 5(2 + 3n) = 6(7n + 4) + 7 (2 * 5 + 3n * 5) = 6(7n + 4) + 7 (10 + 15n) = 6(7n + 4) + 7 Reorder the terms: 10 + 15n = 6(4 + 7n) + 7 10 + 15n = (4 * 6 + 7n * 6) + 7 10 + 15n = (24 + 42n) + 7 Reorder the terms: 10 + 15n = 24 + 7 + 42n Combine like terms: 24 + 7 = 31 10 + 15n = 31 + 42n Solving 10 + 15n = 31 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 10 + 15n + -42n = 31 + 42n + -42n Combine like terms: 15n + -42n = -27n 10 + -27n = 31 + 42n + -42n Combine like terms: 42n + -42n = 0 10 + -27n = 31 + 0 10 + -27n = 31 Add '-10' to each side of the equation. 10 + -10 + -27n = 31 + -10 Combine like terms: 10 + -10 = 0 0 + -27n = 31 + -10 -27n = 31 + -10 Combine like terms: 31 + -10 = 21 -27n = 21 Divide each side by '-27'. n = -0.7777777778 Simplifying n = -0.7777777778
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