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Simplifying 6n + -6n = 3(4n + -8) + -7(2n + -4) Combine like terms: 6n + -6n = 0 0 = 3(4n + -8) + -7(2n + -4) Reorder the terms: 0 = 3(-8 + 4n) + -7(2n + -4) 0 = (-8 * 3 + 4n * 3) + -7(2n + -4) 0 = (-24 + 12n) + -7(2n + -4) Reorder the terms: 0 = -24 + 12n + -7(-4 + 2n) 0 = -24 + 12n + (-4 * -7 + 2n * -7) 0 = -24 + 12n + (28 + -14n) Reorder the terms: 0 = -24 + 28 + 12n + -14n Combine like terms: -24 + 28 = 4 0 = 4 + 12n + -14n Combine like terms: 12n + -14n = -2n 0 = 4 + -2n Solving 0 = 4 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 0 + 2n = 4 + -2n + 2n Remove the zero: 2n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 2n = 4 + 0 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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