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Simplifying 17 + 2n = 7 + -7(-5n + 8) Reorder the terms: 17 + 2n = 7 + -7(8 + -5n) 17 + 2n = 7 + (8 * -7 + -5n * -7) 17 + 2n = 7 + (-56 + 35n) Combine like terms: 7 + -56 = -49 17 + 2n = -49 + 35n Solving 17 + 2n = -49 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 17 + 2n + -35n = -49 + 35n + -35n Combine like terms: 2n + -35n = -33n 17 + -33n = -49 + 35n + -35n Combine like terms: 35n + -35n = 0 17 + -33n = -49 + 0 17 + -33n = -49 Add '-17' to each side of the equation. 17 + -17 + -33n = -49 + -17 Combine like terms: 17 + -17 = 0 0 + -33n = -49 + -17 -33n = -49 + -17 Combine like terms: -49 + -17 = -66 -33n = -66 Divide each side by '-33'. n = 2 Simplifying n = 2
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