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Simplifying 3(n + 2) = 8(9n + 8) + 2 Reorder the terms: 3(2 + n) = 8(9n + 8) + 2 (2 * 3 + n * 3) = 8(9n + 8) + 2 (6 + 3n) = 8(9n + 8) + 2 Reorder the terms: 6 + 3n = 8(8 + 9n) + 2 6 + 3n = (8 * 8 + 9n * 8) + 2 6 + 3n = (64 + 72n) + 2 Reorder the terms: 6 + 3n = 64 + 2 + 72n Combine like terms: 64 + 2 = 66 6 + 3n = 66 + 72n Solving 6 + 3n = 66 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 6 + 3n + -72n = 66 + 72n + -72n Combine like terms: 3n + -72n = -69n 6 + -69n = 66 + 72n + -72n Combine like terms: 72n + -72n = 0 6 + -69n = 66 + 0 6 + -69n = 66 Add '-6' to each side of the equation. 6 + -6 + -69n = 66 + -6 Combine like terms: 6 + -6 = 0 0 + -69n = 66 + -6 -69n = 66 + -6 Combine like terms: 66 + -6 = 60 -69n = 60 Divide each side by '-69'. n = -0.8695652174 Simplifying n = -0.8695652174
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