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Simplifying 8(2n + 3) = 9(7n + 9) + 4 Reorder the terms: 8(3 + 2n) = 9(7n + 9) + 4 (3 * 8 + 2n * 8) = 9(7n + 9) + 4 (24 + 16n) = 9(7n + 9) + 4 Reorder the terms: 24 + 16n = 9(9 + 7n) + 4 24 + 16n = (9 * 9 + 7n * 9) + 4 24 + 16n = (81 + 63n) + 4 Reorder the terms: 24 + 16n = 81 + 4 + 63n Combine like terms: 81 + 4 = 85 24 + 16n = 85 + 63n Solving 24 + 16n = 85 + 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 = 85 + 63n + -63n Combine like terms: 16n + -63n = -47n 24 + -47n = 85 + 63n + -63n Combine like terms: 63n + -63n = 0 24 + -47n = 85 + 0 24 + -47n = 85 Add '-24' to each side of the equation. 24 + -24 + -47n = 85 + -24 Combine like terms: 24 + -24 = 0 0 + -47n = 85 + -24 -47n = 85 + -24 Combine like terms: 85 + -24 = 61 -47n = 61 Divide each side by '-47'. n = -1.29787234 Simplifying n = -1.29787234
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