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Simplifying 8(2n + 3) = 8(4n + 5) + 9 Reorder the terms: 8(3 + 2n) = 8(4n + 5) + 9 (3 * 8 + 2n * 8) = 8(4n + 5) + 9 (24 + 16n) = 8(4n + 5) + 9 Reorder the terms: 24 + 16n = 8(5 + 4n) + 9 24 + 16n = (5 * 8 + 4n * 8) + 9 24 + 16n = (40 + 32n) + 9 Reorder the terms: 24 + 16n = 40 + 9 + 32n Combine like terms: 40 + 9 = 49 24 + 16n = 49 + 32n Solving 24 + 16n = 49 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 24 + 16n + -32n = 49 + 32n + -32n Combine like terms: 16n + -32n = -16n 24 + -16n = 49 + 32n + -32n Combine like terms: 32n + -32n = 0 24 + -16n = 49 + 0 24 + -16n = 49 Add '-24' to each side of the equation. 24 + -24 + -16n = 49 + -24 Combine like terms: 24 + -24 = 0 0 + -16n = 49 + -24 -16n = 49 + -24 Combine like terms: 49 + -24 = 25 -16n = 25 Divide each side by '-16'. n = -1.5625 Simplifying n = -1.5625
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