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Simplifying 6(2 + -4n) = 50n + -162 (2 * 6 + -4n * 6) = 50n + -162 (12 + -24n) = 50n + -162 Reorder the terms: 12 + -24n = -162 + 50n Solving 12 + -24n = -162 + 50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-50n' to each side of the equation. 12 + -24n + -50n = -162 + 50n + -50n Combine like terms: -24n + -50n = -74n 12 + -74n = -162 + 50n + -50n Combine like terms: 50n + -50n = 0 12 + -74n = -162 + 0 12 + -74n = -162 Add '-12' to each side of the equation. 12 + -12 + -74n = -162 + -12 Combine like terms: 12 + -12 = 0 0 + -74n = -162 + -12 -74n = -162 + -12 Combine like terms: -162 + -12 = -174 -74n = -174 Divide each side by '-74'. n = 2.351351351 Simplifying n = 2.351351351
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