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Simplifying 8(2n + 3) = 8(5n + 6) + 3 Reorder the terms: 8(3 + 2n) = 8(5n + 6) + 3 (3 * 8 + 2n * 8) = 8(5n + 6) + 3 (24 + 16n) = 8(5n + 6) + 3 Reorder the terms: 24 + 16n = 8(6 + 5n) + 3 24 + 16n = (6 * 8 + 5n * 8) + 3 24 + 16n = (48 + 40n) + 3 Reorder the terms: 24 + 16n = 48 + 3 + 40n Combine like terms: 48 + 3 = 51 24 + 16n = 51 + 40n Solving 24 + 16n = 51 + 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. 24 + 16n + -40n = 51 + 40n + -40n Combine like terms: 16n + -40n = -24n 24 + -24n = 51 + 40n + -40n Combine like terms: 40n + -40n = 0 24 + -24n = 51 + 0 24 + -24n = 51 Add '-24' to each side of the equation. 24 + -24 + -24n = 51 + -24 Combine like terms: 24 + -24 = 0 0 + -24n = 51 + -24 -24n = 51 + -24 Combine like terms: 51 + -24 = 27 -24n = 27 Divide each side by '-24'. n = -1.125 Simplifying n = -1.125
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