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Simplifying 2(3n + 4) = 6(8n + 3) + 3 Reorder the terms: 2(4 + 3n) = 6(8n + 3) + 3 (4 * 2 + 3n * 2) = 6(8n + 3) + 3 (8 + 6n) = 6(8n + 3) + 3 Reorder the terms: 8 + 6n = 6(3 + 8n) + 3 8 + 6n = (3 * 6 + 8n * 6) + 3 8 + 6n = (18 + 48n) + 3 Reorder the terms: 8 + 6n = 18 + 3 + 48n Combine like terms: 18 + 3 = 21 8 + 6n = 21 + 48n Solving 8 + 6n = 21 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 8 + 6n + -48n = 21 + 48n + -48n Combine like terms: 6n + -48n = -42n 8 + -42n = 21 + 48n + -48n Combine like terms: 48n + -48n = 0 8 + -42n = 21 + 0 8 + -42n = 21 Add '-8' to each side of the equation. 8 + -8 + -42n = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -42n = 21 + -8 -42n = 21 + -8 Combine like terms: 21 + -8 = 13 -42n = 13 Divide each side by '-42'. n = -0.3095238095 Simplifying n = -0.3095238095
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