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Simplifying 6n + -6n = -1(2 + 6n) + -4(1 + -1n) Combine like terms: 6n + -6n = 0 0 = -1(2 + 6n) + -4(1 + -1n) 0 = (2 * -1 + 6n * -1) + -4(1 + -1n) 0 = (-2 + -6n) + -4(1 + -1n) 0 = -2 + -6n + (1 * -4 + -1n * -4) 0 = -2 + -6n + (-4 + 4n) Reorder the terms: 0 = -2 + -4 + -6n + 4n Combine like terms: -2 + -4 = -6 0 = -6 + -6n + 4n Combine like terms: -6n + 4n = -2n 0 = -6 + -2n Solving 0 = -6 + -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 = -6 + -2n + 2n Remove the zero: 2n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 2n = -6 + 0 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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