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Simplifying 8(2n + 5) = 9(7n + 6) + 4 Reorder the terms: 8(5 + 2n) = 9(7n + 6) + 4 (5 * 8 + 2n * 8) = 9(7n + 6) + 4 (40 + 16n) = 9(7n + 6) + 4 Reorder the terms: 40 + 16n = 9(6 + 7n) + 4 40 + 16n = (6 * 9 + 7n * 9) + 4 40 + 16n = (54 + 63n) + 4 Reorder the terms: 40 + 16n = 54 + 4 + 63n Combine like terms: 54 + 4 = 58 40 + 16n = 58 + 63n Solving 40 + 16n = 58 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 40 + 16n + -63n = 58 + 63n + -63n Combine like terms: 16n + -63n = -47n 40 + -47n = 58 + 63n + -63n Combine like terms: 63n + -63n = 0 40 + -47n = 58 + 0 40 + -47n = 58 Add '-40' to each side of the equation. 40 + -40 + -47n = 58 + -40 Combine like terms: 40 + -40 = 0 0 + -47n = 58 + -40 -47n = 58 + -40 Combine like terms: 58 + -40 = 18 -47n = 18 Divide each side by '-47'. n = -0.3829787234 Simplifying n = -0.3829787234
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