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Simplifying 10(2n + -5) = 2(7n + 11) Reorder the terms: 10(-5 + 2n) = 2(7n + 11) (-5 * 10 + 2n * 10) = 2(7n + 11) (-50 + 20n) = 2(7n + 11) Reorder the terms: -50 + 20n = 2(11 + 7n) -50 + 20n = (11 * 2 + 7n * 2) -50 + 20n = (22 + 14n) Solving -50 + 20n = 22 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -50 + 20n + -14n = 22 + 14n + -14n Combine like terms: 20n + -14n = 6n -50 + 6n = 22 + 14n + -14n Combine like terms: 14n + -14n = 0 -50 + 6n = 22 + 0 -50 + 6n = 22 Add '50' to each side of the equation. -50 + 50 + 6n = 22 + 50 Combine like terms: -50 + 50 = 0 0 + 6n = 22 + 50 6n = 22 + 50 Combine like terms: 22 + 50 = 72 6n = 72 Divide each side by '6'. n = 12 Simplifying n = 12
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