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Simplifying 5n + 17 = 8(-8 + -3n) + -6 Reorder the terms: 17 + 5n = 8(-8 + -3n) + -6 17 + 5n = (-8 * 8 + -3n * 8) + -6 17 + 5n = (-64 + -24n) + -6 Reorder the terms: 17 + 5n = -64 + -6 + -24n Combine like terms: -64 + -6 = -70 17 + 5n = -70 + -24n Solving 17 + 5n = -70 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 17 + 5n + 24n = -70 + -24n + 24n Combine like terms: 5n + 24n = 29n 17 + 29n = -70 + -24n + 24n Combine like terms: -24n + 24n = 0 17 + 29n = -70 + 0 17 + 29n = -70 Add '-17' to each side of the equation. 17 + -17 + 29n = -70 + -17 Combine like terms: 17 + -17 = 0 0 + 29n = -70 + -17 29n = -70 + -17 Combine like terms: -70 + -17 = -87 29n = -87 Divide each side by '29'. n = -3 Simplifying n = -3
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