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Simplifying 8(3n + 2) = 6(8n + 4) + 9 Reorder the terms: 8(2 + 3n) = 6(8n + 4) + 9 (2 * 8 + 3n * 8) = 6(8n + 4) + 9 (16 + 24n) = 6(8n + 4) + 9 Reorder the terms: 16 + 24n = 6(4 + 8n) + 9 16 + 24n = (4 * 6 + 8n * 6) + 9 16 + 24n = (24 + 48n) + 9 Reorder the terms: 16 + 24n = 24 + 9 + 48n Combine like terms: 24 + 9 = 33 16 + 24n = 33 + 48n Solving 16 + 24n = 33 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 16 + 24n + -48n = 33 + 48n + -48n Combine like terms: 24n + -48n = -24n 16 + -24n = 33 + 48n + -48n Combine like terms: 48n + -48n = 0 16 + -24n = 33 + 0 16 + -24n = 33 Add '-16' to each side of the equation. 16 + -16 + -24n = 33 + -16 Combine like terms: 16 + -16 = 0 0 + -24n = 33 + -16 -24n = 33 + -16 Combine like terms: 33 + -16 = 17 -24n = 17 Divide each side by '-24'. n = -0.7083333333 Simplifying n = -0.7083333333
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