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Simplifying -5n + 6 = -9(-3n + -4) + -2n Reorder the terms: 6 + -5n = -9(-3n + -4) + -2n Reorder the terms: 6 + -5n = -9(-4 + -3n) + -2n 6 + -5n = (-4 * -9 + -3n * -9) + -2n 6 + -5n = (36 + 27n) + -2n Combine like terms: 27n + -2n = 25n 6 + -5n = 36 + 25n Solving 6 + -5n = 36 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 6 + -5n + -25n = 36 + 25n + -25n Combine like terms: -5n + -25n = -30n 6 + -30n = 36 + 25n + -25n Combine like terms: 25n + -25n = 0 6 + -30n = 36 + 0 6 + -30n = 36 Add '-6' to each side of the equation. 6 + -6 + -30n = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -30n = 36 + -6 -30n = 36 + -6 Combine like terms: 36 + -6 = 30 -30n = 30 Divide each side by '-30'. n = -1 Simplifying n = -1
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