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Simplifying -1(5n + 6) = 2(3n + 8) Reorder the terms: -1(6 + 5n) = 2(3n + 8) (6 * -1 + 5n * -1) = 2(3n + 8) (-6 + -5n) = 2(3n + 8) Reorder the terms: -6 + -5n = 2(8 + 3n) -6 + -5n = (8 * 2 + 3n * 2) -6 + -5n = (16 + 6n) Solving -6 + -5n = 16 + 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. -6 + -5n + -6n = 16 + 6n + -6n Combine like terms: -5n + -6n = -11n -6 + -11n = 16 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + -11n = 16 + 0 -6 + -11n = 16 Add '6' to each side of the equation. -6 + 6 + -11n = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -11n = 16 + 6 -11n = 16 + 6 Combine like terms: 16 + 6 = 22 -11n = 22 Divide each side by '-11'. n = -2 Simplifying n = -2
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