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Simplifying 2(1 + -6n) = -14 + 4n (1 * 2 + -6n * 2) = -14 + 4n (2 + -12n) = -14 + 4n Solving 2 + -12n = -14 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 2 + -12n + -4n = -14 + 4n + -4n Combine like terms: -12n + -4n = -16n 2 + -16n = -14 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + -16n = -14 + 0 2 + -16n = -14 Add '-2' to each side of the equation. 2 + -2 + -16n = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -16n = -14 + -2 -16n = -14 + -2 Combine like terms: -14 + -2 = -16 -16n = -16 Divide each side by '-16'. n = 1 Simplifying n = 1
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