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Simplifying 2n + 26 = 6(n + -1) Reorder the terms: 26 + 2n = 6(n + -1) Reorder the terms: 26 + 2n = 6(-1 + n) 26 + 2n = (-1 * 6 + n * 6) 26 + 2n = (-6 + 6n) Solving 26 + 2n = -6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 26 + 2n + -6n = -6 + 6n + -6n Combine like terms: 2n + -6n = -4n 26 + -4n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 26 + -4n = -6 + 0 26 + -4n = -6 Add '-26' to each side of the equation. 26 + -26 + -4n = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -4n = -6 + -26 -4n = -6 + -26 Combine like terms: -6 + -26 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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