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Simplifying 2(11 + -26n) = 7(n + -16) (11 * 2 + -26n * 2) = 7(n + -16) (22 + -52n) = 7(n + -16) Reorder the terms: 22 + -52n = 7(-16 + n) 22 + -52n = (-16 * 7 + n * 7) 22 + -52n = (-112 + 7n) Solving 22 + -52n = -112 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 22 + -52n + -7n = -112 + 7n + -7n Combine like terms: -52n + -7n = -59n 22 + -59n = -112 + 7n + -7n Combine like terms: 7n + -7n = 0 22 + -59n = -112 + 0 22 + -59n = -112 Add '-22' to each side of the equation. 22 + -22 + -59n = -112 + -22 Combine like terms: 22 + -22 = 0 0 + -59n = -112 + -22 -59n = -112 + -22 Combine like terms: -112 + -22 = -134 -59n = -134 Divide each side by '-59'. n = 2.271186441 Simplifying n = 2.271186441
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