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Simplifying -12 + -5n = 2(3n + 5) Reorder the terms: -12 + -5n = 2(5 + 3n) -12 + -5n = (5 * 2 + 3n * 2) -12 + -5n = (10 + 6n) Solving -12 + -5n = 10 + 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. -12 + -5n + -6n = 10 + 6n + -6n Combine like terms: -5n + -6n = -11n -12 + -11n = 10 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + -11n = 10 + 0 -12 + -11n = 10 Add '12' to each side of the equation. -12 + 12 + -11n = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -11n = 10 + 12 -11n = 10 + 12 Combine like terms: 10 + 12 = 22 -11n = 22 Divide each side by '-11'. n = -2 Simplifying n = -2
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