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Simplifying 4n + -2(n + 2) = 2(7n + -2) Reorder the terms: 4n + -2(2 + n) = 2(7n + -2) 4n + (2 * -2 + n * -2) = 2(7n + -2) 4n + (-4 + -2n) = 2(7n + -2) Reorder the terms: -4 + 4n + -2n = 2(7n + -2) Combine like terms: 4n + -2n = 2n -4 + 2n = 2(7n + -2) Reorder the terms: -4 + 2n = 2(-2 + 7n) -4 + 2n = (-2 * 2 + 7n * 2) -4 + 2n = (-4 + 14n) Add '4' to each side of the equation. -4 + 4 + 2n = -4 + 4 + 14n Combine like terms: -4 + 4 = 0 0 + 2n = -4 + 4 + 14n 2n = -4 + 4 + 14n Combine like terms: -4 + 4 = 0 2n = 0 + 14n 2n = 14n Solving 2n = 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. 2n + -14n = 14n + -14n Combine like terms: 2n + -14n = -12n -12n = 14n + -14n Combine like terms: 14n + -14n = 0 -12n = 0 Divide each side by '-12'. n = 0 Simplifying n = 0
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