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Simplifying 7(3n + 5) = 6(8n + 8) + 4 Reorder the terms: 7(5 + 3n) = 6(8n + 8) + 4 (5 * 7 + 3n * 7) = 6(8n + 8) + 4 (35 + 21n) = 6(8n + 8) + 4 Reorder the terms: 35 + 21n = 6(8 + 8n) + 4 35 + 21n = (8 * 6 + 8n * 6) + 4 35 + 21n = (48 + 48n) + 4 Reorder the terms: 35 + 21n = 48 + 4 + 48n Combine like terms: 48 + 4 = 52 35 + 21n = 52 + 48n Solving 35 + 21n = 52 + 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. 35 + 21n + -48n = 52 + 48n + -48n Combine like terms: 21n + -48n = -27n 35 + -27n = 52 + 48n + -48n Combine like terms: 48n + -48n = 0 35 + -27n = 52 + 0 35 + -27n = 52 Add '-35' to each side of the equation. 35 + -35 + -27n = 52 + -35 Combine like terms: 35 + -35 = 0 0 + -27n = 52 + -35 -27n = 52 + -35 Combine like terms: 52 + -35 = 17 -27n = 17 Divide each side by '-27'. n = -0.6296296296 Simplifying n = -0.6296296296
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