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Simplifying 7(3n + 4) = 7(6n + 4) + 9 Reorder the terms: 7(4 + 3n) = 7(6n + 4) + 9 (4 * 7 + 3n * 7) = 7(6n + 4) + 9 (28 + 21n) = 7(6n + 4) + 9 Reorder the terms: 28 + 21n = 7(4 + 6n) + 9 28 + 21n = (4 * 7 + 6n * 7) + 9 28 + 21n = (28 + 42n) + 9 Reorder the terms: 28 + 21n = 28 + 9 + 42n Combine like terms: 28 + 9 = 37 28 + 21n = 37 + 42n Solving 28 + 21n = 37 + 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. 28 + 21n + -42n = 37 + 42n + -42n Combine like terms: 21n + -42n = -21n 28 + -21n = 37 + 42n + -42n Combine like terms: 42n + -42n = 0 28 + -21n = 37 + 0 28 + -21n = 37 Add '-28' to each side of the equation. 28 + -28 + -21n = 37 + -28 Combine like terms: 28 + -28 = 0 0 + -21n = 37 + -28 -21n = 37 + -28 Combine like terms: 37 + -28 = 9 -21n = 9 Divide each side by '-21'. n = -0.4285714286 Simplifying n = -0.4285714286
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