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Simplifying -6(-4n + 6) = 5n + -17 Reorder the terms: -6(6 + -4n) = 5n + -17 (6 * -6 + -4n * -6) = 5n + -17 (-36 + 24n) = 5n + -17 Reorder the terms: -36 + 24n = -17 + 5n Solving -36 + 24n = -17 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -36 + 24n + -5n = -17 + 5n + -5n Combine like terms: 24n + -5n = 19n -36 + 19n = -17 + 5n + -5n Combine like terms: 5n + -5n = 0 -36 + 19n = -17 + 0 -36 + 19n = -17 Add '36' to each side of the equation. -36 + 36 + 19n = -17 + 36 Combine like terms: -36 + 36 = 0 0 + 19n = -17 + 36 19n = -17 + 36 Combine like terms: -17 + 36 = 19 19n = 19 Divide each side by '19'. n = 1 Simplifying n = 1
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