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Simplifying 3(2n + 5) = 8(7n + 4) + 4 Reorder the terms: 3(5 + 2n) = 8(7n + 4) + 4 (5 * 3 + 2n * 3) = 8(7n + 4) + 4 (15 + 6n) = 8(7n + 4) + 4 Reorder the terms: 15 + 6n = 8(4 + 7n) + 4 15 + 6n = (4 * 8 + 7n * 8) + 4 15 + 6n = (32 + 56n) + 4 Reorder the terms: 15 + 6n = 32 + 4 + 56n Combine like terms: 32 + 4 = 36 15 + 6n = 36 + 56n Solving 15 + 6n = 36 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 15 + 6n + -56n = 36 + 56n + -56n Combine like terms: 6n + -56n = -50n 15 + -50n = 36 + 56n + -56n Combine like terms: 56n + -56n = 0 15 + -50n = 36 + 0 15 + -50n = 36 Add '-15' to each side of the equation. 15 + -15 + -50n = 36 + -15 Combine like terms: 15 + -15 = 0 0 + -50n = 36 + -15 -50n = 36 + -15 Combine like terms: 36 + -15 = 21 -50n = 21 Divide each side by '-50'. n = -0.42 Simplifying n = -0.42
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