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Simplifying 5n + 17 = -5 + -2(3 + -6n) Reorder the terms: 17 + 5n = -5 + -2(3 + -6n) 17 + 5n = -5 + (3 * -2 + -6n * -2) 17 + 5n = -5 + (-6 + 12n) Combine like terms: -5 + -6 = -11 17 + 5n = -11 + 12n Solving 17 + 5n = -11 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 17 + 5n + -12n = -11 + 12n + -12n Combine like terms: 5n + -12n = -7n 17 + -7n = -11 + 12n + -12n Combine like terms: 12n + -12n = 0 17 + -7n = -11 + 0 17 + -7n = -11 Add '-17' to each side of the equation. 17 + -17 + -7n = -11 + -17 Combine like terms: 17 + -17 = 0 0 + -7n = -11 + -17 -7n = -11 + -17 Combine like terms: -11 + -17 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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