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Simplifying n + -6 + n = 7 + -2n + 5 + 10 Reorder the terms: -6 + n + n = 7 + -2n + 5 + 10 Combine like terms: n + n = 2n -6 + 2n = 7 + -2n + 5 + 10 Reorder the terms: -6 + 2n = 7 + 5 + 10 + -2n Combine like terms: 7 + 5 = 12 -6 + 2n = 12 + 10 + -2n Combine like terms: 12 + 10 = 22 -6 + 2n = 22 + -2n Solving -6 + 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. -6 + 2n + 2n = 22 + -2n + 2n Combine like terms: 2n + 2n = 4n -6 + 4n = 22 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + 4n = 22 + 0 -6 + 4n = 22 Add '6' to each side of the equation. -6 + 6 + 4n = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4n = 22 + 6 4n = 22 + 6 Combine like terms: 22 + 6 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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