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Simplifying 2n + 26 = -4(n + -2) Reorder the terms: 26 + 2n = -4(n + -2) Reorder the terms: 26 + 2n = -4(-2 + n) 26 + 2n = (-2 * -4 + n * -4) 26 + 2n = (8 + -4n) Solving 26 + 2n = 8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 26 + 2n + 4n = 8 + -4n + 4n Combine like terms: 2n + 4n = 6n 26 + 6n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 26 + 6n = 8 + 0 26 + 6n = 8 Add '-26' to each side of the equation. 26 + -26 + 6n = 8 + -26 Combine like terms: 26 + -26 = 0 0 + 6n = 8 + -26 6n = 8 + -26 Combine like terms: 8 + -26 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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