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Simplifying 2n + -10 = 22 + -2n Reorder the terms: -10 + 2n = 22 + -2n Solving -10 + 2n = 22 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -10 + 2n + 2n = 22 + -2n + 2n Combine like terms: 2n + 2n = 4n -10 + 4n = 22 + -2n + 2n Combine like terms: -2n + 2n = 0 -10 + 4n = 22 + 0 -10 + 4n = 22 Add '10' to each side of the equation. -10 + 10 + 4n = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 4n = 22 + 10 4n = 22 + 10 Combine like terms: 22 + 10 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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