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Simplifying n + -6 = 10 + -2n + -1 Reorder the terms: -6 + n = 10 + -2n + -1 Reorder the terms: -6 + n = 10 + -1 + -2n Combine like terms: 10 + -1 = 9 -6 + n = 9 + -2n Solving -6 + n = 9 + -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 + n + 2n = 9 + -2n + 2n Combine like terms: n + 2n = 3n -6 + 3n = 9 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + 3n = 9 + 0 -6 + 3n = 9 Add '6' to each side of the equation. -6 + 6 + 3n = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 9 + 6 3n = 9 + 6 Combine like terms: 9 + 6 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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