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Simplifying 9(2n + 2) = 8(5n + 3) + 3 Reorder the terms: 9(2 + 2n) = 8(5n + 3) + 3 (2 * 9 + 2n * 9) = 8(5n + 3) + 3 (18 + 18n) = 8(5n + 3) + 3 Reorder the terms: 18 + 18n = 8(3 + 5n) + 3 18 + 18n = (3 * 8 + 5n * 8) + 3 18 + 18n = (24 + 40n) + 3 Reorder the terms: 18 + 18n = 24 + 3 + 40n Combine like terms: 24 + 3 = 27 18 + 18n = 27 + 40n Solving 18 + 18n = 27 + 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. 18 + 18n + -40n = 27 + 40n + -40n Combine like terms: 18n + -40n = -22n 18 + -22n = 27 + 40n + -40n Combine like terms: 40n + -40n = 0 18 + -22n = 27 + 0 18 + -22n = 27 Add '-18' to each side of the equation. 18 + -18 + -22n = 27 + -18 Combine like terms: 18 + -18 = 0 0 + -22n = 27 + -18 -22n = 27 + -18 Combine like terms: 27 + -18 = 9 -22n = 9 Divide each side by '-22'. n = -0.4090909091 Simplifying n = -0.4090909091
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