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Simplifying 3(-4n + 1) + 6 = 2n + 33 Reorder the terms: 3(1 + -4n) + 6 = 2n + 33 (1 * 3 + -4n * 3) + 6 = 2n + 33 (3 + -12n) + 6 = 2n + 33 Reorder the terms: 3 + 6 + -12n = 2n + 33 Combine like terms: 3 + 6 = 9 9 + -12n = 2n + 33 Reorder the terms: 9 + -12n = 33 + 2n Solving 9 + -12n = 33 + 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. 9 + -12n + -2n = 33 + 2n + -2n Combine like terms: -12n + -2n = -14n 9 + -14n = 33 + 2n + -2n Combine like terms: 2n + -2n = 0 9 + -14n = 33 + 0 9 + -14n = 33 Add '-9' to each side of the equation. 9 + -9 + -14n = 33 + -9 Combine like terms: 9 + -9 = 0 0 + -14n = 33 + -9 -14n = 33 + -9 Combine like terms: 33 + -9 = 24 -14n = 24 Divide each side by '-14'. n = -1.714285714 Simplifying n = -1.714285714
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