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Simplifying 6(2 + -4n) = 5n + -162 (2 * 6 + -4n * 6) = 5n + -162 (12 + -24n) = 5n + -162 Reorder the terms: 12 + -24n = -162 + 5n Solving 12 + -24n = -162 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 12 + -24n + -5n = -162 + 5n + -5n Combine like terms: -24n + -5n = -29n 12 + -29n = -162 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + -29n = -162 + 0 12 + -29n = -162 Add '-12' to each side of the equation. 12 + -12 + -29n = -162 + -12 Combine like terms: 12 + -12 = 0 0 + -29n = -162 + -12 -29n = -162 + -12 Combine like terms: -162 + -12 = -174 -29n = -174 Divide each side by '-29'. n = 6 Simplifying n = 6
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