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Simplifying 2(3n + 2) = 7(8n + 3) + 7 Reorder the terms: 2(2 + 3n) = 7(8n + 3) + 7 (2 * 2 + 3n * 2) = 7(8n + 3) + 7 (4 + 6n) = 7(8n + 3) + 7 Reorder the terms: 4 + 6n = 7(3 + 8n) + 7 4 + 6n = (3 * 7 + 8n * 7) + 7 4 + 6n = (21 + 56n) + 7 Reorder the terms: 4 + 6n = 21 + 7 + 56n Combine like terms: 21 + 7 = 28 4 + 6n = 28 + 56n Solving 4 + 6n = 28 + 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. 4 + 6n + -56n = 28 + 56n + -56n Combine like terms: 6n + -56n = -50n 4 + -50n = 28 + 56n + -56n Combine like terms: 56n + -56n = 0 4 + -50n = 28 + 0 4 + -50n = 28 Add '-4' to each side of the equation. 4 + -4 + -50n = 28 + -4 Combine like terms: 4 + -4 = 0 0 + -50n = 28 + -4 -50n = 28 + -4 Combine like terms: 28 + -4 = 24 -50n = 24 Divide each side by '-50'. n = -0.48 Simplifying n = -0.48
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