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Simplifying -22 + -6n = 3n + 10 Reorder the terms: -22 + -6n = 10 + 3n Solving -22 + -6n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -22 + -6n + -3n = 10 + 3n + -3n Combine like terms: -6n + -3n = -9n -22 + -9n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -22 + -9n = 10 + 0 -22 + -9n = 10 Add '22' to each side of the equation. -22 + 22 + -9n = 10 + 22 Combine like terms: -22 + 22 = 0 0 + -9n = 10 + 22 -9n = 10 + 22 Combine like terms: 10 + 22 = 32 -9n = 32 Divide each side by '-9'. n = -3.555555556 Simplifying n = -3.555555556
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