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Simplifying 7 + 2n + -6 = 6n + 13 + -2n Reorder the terms: 7 + -6 + 2n = 6n + 13 + -2n Combine like terms: 7 + -6 = 1 1 + 2n = 6n + 13 + -2n Reorder the terms: 1 + 2n = 13 + 6n + -2n Combine like terms: 6n + -2n = 4n 1 + 2n = 13 + 4n Solving 1 + 2n = 13 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 1 + 2n + -4n = 13 + 4n + -4n Combine like terms: 2n + -4n = -2n 1 + -2n = 13 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + -2n = 13 + 0 1 + -2n = 13 Add '-1' to each side of the equation. 1 + -1 + -2n = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 13 + -1 -2n = 13 + -1 Combine like terms: 13 + -1 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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