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Simplifying 5n + -26 = -2(3n + -9) Reorder the terms: -26 + 5n = -2(3n + -9) Reorder the terms: -26 + 5n = -2(-9 + 3n) -26 + 5n = (-9 * -2 + 3n * -2) -26 + 5n = (18 + -6n) Solving -26 + 5n = 18 + -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 + 5n + 6n = 18 + -6n + 6n Combine like terms: 5n + 6n = 11n -26 + 11n = 18 + -6n + 6n Combine like terms: -6n + 6n = 0 -26 + 11n = 18 + 0 -26 + 11n = 18 Add '26' to each side of the equation. -26 + 26 + 11n = 18 + 26 Combine like terms: -26 + 26 = 0 0 + 11n = 18 + 26 11n = 18 + 26 Combine like terms: 18 + 26 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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