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Simplifying -7(8 + -12n) = -6(n + -6) + -2 (8 * -7 + -12n * -7) = -6(n + -6) + -2 (-56 + 84n) = -6(n + -6) + -2 Reorder the terms: -56 + 84n = -6(-6 + n) + -2 -56 + 84n = (-6 * -6 + n * -6) + -2 -56 + 84n = (36 + -6n) + -2 Reorder the terms: -56 + 84n = 36 + -2 + -6n Combine like terms: 36 + -2 = 34 -56 + 84n = 34 + -6n Solving -56 + 84n = 34 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -56 + 84n + 6n = 34 + -6n + 6n Combine like terms: 84n + 6n = 90n -56 + 90n = 34 + -6n + 6n Combine like terms: -6n + 6n = 0 -56 + 90n = 34 + 0 -56 + 90n = 34 Add '56' to each side of the equation. -56 + 56 + 90n = 34 + 56 Combine like terms: -56 + 56 = 0 0 + 90n = 34 + 56 90n = 34 + 56 Combine like terms: 34 + 56 = 90 90n = 90 Divide each side by '90'. n = 1 Simplifying n = 1
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