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Simplifying -2(5 + -6n) = 7(2n + -6) + 6 (5 * -2 + -6n * -2) = 7(2n + -6) + 6 (-10 + 12n) = 7(2n + -6) + 6 Reorder the terms: -10 + 12n = 7(-6 + 2n) + 6 -10 + 12n = (-6 * 7 + 2n * 7) + 6 -10 + 12n = (-42 + 14n) + 6 Reorder the terms: -10 + 12n = -42 + 6 + 14n Combine like terms: -42 + 6 = -36 -10 + 12n = -36 + 14n Solving -10 + 12n = -36 + 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. -10 + 12n + -14n = -36 + 14n + -14n Combine like terms: 12n + -14n = -2n -10 + -2n = -36 + 14n + -14n Combine like terms: 14n + -14n = 0 -10 + -2n = -36 + 0 -10 + -2n = -36 Add '10' to each side of the equation. -10 + 10 + -2n = -36 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = -36 + 10 -2n = -36 + 10 Combine like terms: -36 + 10 = -26 -2n = -26 Divide each side by '-2'. n = 13 Simplifying n = 13
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