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Simplifying 164 = 6(3n + 2) + -4n Reorder the terms: 164 = 6(2 + 3n) + -4n 164 = (2 * 6 + 3n * 6) + -4n 164 = (12 + 18n) + -4n Combine like terms: 18n + -4n = 14n 164 = 12 + 14n Solving 164 = 12 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 164 + -14n = 12 + 14n + -14n Combine like terms: 14n + -14n = 0 164 + -14n = 12 + 0 164 + -14n = 12 Add '-164' to each side of the equation. 164 + -164 + -14n = 12 + -164 Combine like terms: 164 + -164 = 0 0 + -14n = 12 + -164 -14n = 12 + -164 Combine like terms: 12 + -164 = -152 -14n = -152 Divide each side by '-14'. n = 10.85714286 Simplifying n = 10.85714286
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