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Simplifying 8 + 2n + -7 = 6n + 5 + -2n Reorder the terms: 8 + -7 + 2n = 6n + 5 + -2n Combine like terms: 8 + -7 = 1 1 + 2n = 6n + 5 + -2n Reorder the terms: 1 + 2n = 5 + 6n + -2n Combine like terms: 6n + -2n = 4n 1 + 2n = 5 + 4n Solving 1 + 2n = 5 + 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 = 5 + 4n + -4n Combine like terms: 2n + -4n = -2n 1 + -2n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + -2n = 5 + 0 1 + -2n = 5 Add '-1' to each side of the equation. 1 + -1 + -2n = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 5 + -1 -2n = 5 + -1 Combine like terms: 5 + -1 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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