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Simplifying 8(3n + 5) = 8(5n + 1) + 4 Reorder the terms: 8(5 + 3n) = 8(5n + 1) + 4 (5 * 8 + 3n * 8) = 8(5n + 1) + 4 (40 + 24n) = 8(5n + 1) + 4 Reorder the terms: 40 + 24n = 8(1 + 5n) + 4 40 + 24n = (1 * 8 + 5n * 8) + 4 40 + 24n = (8 + 40n) + 4 Reorder the terms: 40 + 24n = 8 + 4 + 40n Combine like terms: 8 + 4 = 12 40 + 24n = 12 + 40n Solving 40 + 24n = 12 + 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. 40 + 24n + -40n = 12 + 40n + -40n Combine like terms: 24n + -40n = -16n 40 + -16n = 12 + 40n + -40n Combine like terms: 40n + -40n = 0 40 + -16n = 12 + 0 40 + -16n = 12 Add '-40' to each side of the equation. 40 + -40 + -16n = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -16n = 12 + -40 -16n = 12 + -40 Combine like terms: 12 + -40 = -28 -16n = -28 Divide each side by '-16'. n = 1.75 Simplifying n = 1.75
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