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Simplifying 8(3n + 2) = 8(5n + 9) + 7 Reorder the terms: 8(2 + 3n) = 8(5n + 9) + 7 (2 * 8 + 3n * 8) = 8(5n + 9) + 7 (16 + 24n) = 8(5n + 9) + 7 Reorder the terms: 16 + 24n = 8(9 + 5n) + 7 16 + 24n = (9 * 8 + 5n * 8) + 7 16 + 24n = (72 + 40n) + 7 Reorder the terms: 16 + 24n = 72 + 7 + 40n Combine like terms: 72 + 7 = 79 16 + 24n = 79 + 40n Solving 16 + 24n = 79 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 16 + 24n + -40n = 79 + 40n + -40n Combine like terms: 24n + -40n = -16n 16 + -16n = 79 + 40n + -40n Combine like terms: 40n + -40n = 0 16 + -16n = 79 + 0 16 + -16n = 79 Add '-16' to each side of the equation. 16 + -16 + -16n = 79 + -16 Combine like terms: 16 + -16 = 0 0 + -16n = 79 + -16 -16n = 79 + -16 Combine like terms: 79 + -16 = 63 -16n = 63 Divide each side by '-16'. n = -3.9375 Simplifying n = -3.9375
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