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Simplifying 8 + 5n + -7 = 6n + 10 + -4n Reorder the terms: 8 + -7 + 5n = 6n + 10 + -4n Combine like terms: 8 + -7 = 1 1 + 5n = 6n + 10 + -4n Reorder the terms: 1 + 5n = 10 + 6n + -4n Combine like terms: 6n + -4n = 2n 1 + 5n = 10 + 2n Solving 1 + 5n = 10 + 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. 1 + 5n + -2n = 10 + 2n + -2n Combine like terms: 5n + -2n = 3n 1 + 3n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 3n = 10 + 0 1 + 3n = 10 Add '-1' to each side of the equation. 1 + -1 + 3n = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = 10 + -1 3n = 10 + -1 Combine like terms: 10 + -1 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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