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Simplifying 5 + n + -2 + 6 = 2n + 1 Reorder the terms: 5 + -2 + 6 + n = 2n + 1 Combine like terms: 5 + -2 = 3 3 + 6 + n = 2n + 1 Combine like terms: 3 + 6 = 9 9 + n = 2n + 1 Reorder the terms: 9 + n = 1 + 2n Solving 9 + n = 1 + 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. 9 + n + -2n = 1 + 2n + -2n Combine like terms: n + -2n = -1n 9 + -1n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 9 + -1n = 1 + 0 9 + -1n = 1 Add '-9' to each side of the equation. 9 + -9 + -1n = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 1 + -9 -1n = 1 + -9 Combine like terms: 1 + -9 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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