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Simplifying 7(3n + 1) = 6(7n + 4) + 8 Reorder the terms: 7(1 + 3n) = 6(7n + 4) + 8 (1 * 7 + 3n * 7) = 6(7n + 4) + 8 (7 + 21n) = 6(7n + 4) + 8 Reorder the terms: 7 + 21n = 6(4 + 7n) + 8 7 + 21n = (4 * 6 + 7n * 6) + 8 7 + 21n = (24 + 42n) + 8 Reorder the terms: 7 + 21n = 24 + 8 + 42n Combine like terms: 24 + 8 = 32 7 + 21n = 32 + 42n Solving 7 + 21n = 32 + 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. 7 + 21n + -42n = 32 + 42n + -42n Combine like terms: 21n + -42n = -21n 7 + -21n = 32 + 42n + -42n Combine like terms: 42n + -42n = 0 7 + -21n = 32 + 0 7 + -21n = 32 Add '-7' to each side of the equation. 7 + -7 + -21n = 32 + -7 Combine like terms: 7 + -7 = 0 0 + -21n = 32 + -7 -21n = 32 + -7 Combine like terms: 32 + -7 = 25 -21n = 25 Divide each side by '-21'. n = -1.19047619 Simplifying n = -1.19047619
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