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Simplifying 9(2n + 2) = 8(4n + 4) + 2 Reorder the terms: 9(2 + 2n) = 8(4n + 4) + 2 (2 * 9 + 2n * 9) = 8(4n + 4) + 2 (18 + 18n) = 8(4n + 4) + 2 Reorder the terms: 18 + 18n = 8(4 + 4n) + 2 18 + 18n = (4 * 8 + 4n * 8) + 2 18 + 18n = (32 + 32n) + 2 Reorder the terms: 18 + 18n = 32 + 2 + 32n Combine like terms: 32 + 2 = 34 18 + 18n = 34 + 32n Solving 18 + 18n = 34 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 18 + 18n + -32n = 34 + 32n + -32n Combine like terms: 18n + -32n = -14n 18 + -14n = 34 + 32n + -32n Combine like terms: 32n + -32n = 0 18 + -14n = 34 + 0 18 + -14n = 34 Add '-18' to each side of the equation. 18 + -18 + -14n = 34 + -18 Combine like terms: 18 + -18 = 0 0 + -14n = 34 + -18 -14n = 34 + -18 Combine like terms: 34 + -18 = 16 -14n = 16 Divide each side by '-14'. n = -1.142857143 Simplifying n = -1.142857143
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