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Simplifying 8(2n + 3) = 8(7n + 9) + 2 Reorder the terms: 8(3 + 2n) = 8(7n + 9) + 2 (3 * 8 + 2n * 8) = 8(7n + 9) + 2 (24 + 16n) = 8(7n + 9) + 2 Reorder the terms: 24 + 16n = 8(9 + 7n) + 2 24 + 16n = (9 * 8 + 7n * 8) + 2 24 + 16n = (72 + 56n) + 2 Reorder the terms: 24 + 16n = 72 + 2 + 56n Combine like terms: 72 + 2 = 74 24 + 16n = 74 + 56n Solving 24 + 16n = 74 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 24 + 16n + -56n = 74 + 56n + -56n Combine like terms: 16n + -56n = -40n 24 + -40n = 74 + 56n + -56n Combine like terms: 56n + -56n = 0 24 + -40n = 74 + 0 24 + -40n = 74 Add '-24' to each side of the equation. 24 + -24 + -40n = 74 + -24 Combine like terms: 24 + -24 = 0 0 + -40n = 74 + -24 -40n = 74 + -24 Combine like terms: 74 + -24 = 50 -40n = 50 Divide each side by '-40'. n = -1.25 Simplifying n = -1.25
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