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Simplifying 8(2n + 3) = 9(7n + 2 + 3) Reorder the terms: 8(3 + 2n) = 9(7n + 2 + 3) (3 * 8 + 2n * 8) = 9(7n + 2 + 3) (24 + 16n) = 9(7n + 2 + 3) Reorder the terms: 24 + 16n = 9(2 + 3 + 7n) Combine like terms: 2 + 3 = 5 24 + 16n = 9(5 + 7n) 24 + 16n = (5 * 9 + 7n * 9) 24 + 16n = (45 + 63n) Solving 24 + 16n = 45 + 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. 24 + 16n + -63n = 45 + 63n + -63n Combine like terms: 16n + -63n = -47n 24 + -47n = 45 + 63n + -63n Combine like terms: 63n + -63n = 0 24 + -47n = 45 + 0 24 + -47n = 45 Add '-24' to each side of the equation. 24 + -24 + -47n = 45 + -24 Combine like terms: 24 + -24 = 0 0 + -47n = 45 + -24 -47n = 45 + -24 Combine like terms: 45 + -24 = 21 -47n = 21 Divide each side by '-47'. n = -0.4468085106 Simplifying n = -0.4468085106
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