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Simplifying -2n + 17 = 7n + 44 Reorder the terms: 17 + -2n = 7n + 44 Reorder the terms: 17 + -2n = 44 + 7n Solving 17 + -2n = 44 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 17 + -2n + -7n = 44 + 7n + -7n Combine like terms: -2n + -7n = -9n 17 + -9n = 44 + 7n + -7n Combine like terms: 7n + -7n = 0 17 + -9n = 44 + 0 17 + -9n = 44 Add '-17' to each side of the equation. 17 + -17 + -9n = 44 + -17 Combine like terms: 17 + -17 = 0 0 + -9n = 44 + -17 -9n = 44 + -17 Combine like terms: 44 + -17 = 27 -9n = 27 Divide each side by '-9'. n = -3 Simplifying n = -3
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