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Simplifying 8 + -3n + -2 = 10 + 4n + 3 + -6n Reorder the terms: 8 + -2 + -3n = 10 + 4n + 3 + -6n Combine like terms: 8 + -2 = 6 6 + -3n = 10 + 4n + 3 + -6n Reorder the terms: 6 + -3n = 10 + 3 + 4n + -6n Combine like terms: 10 + 3 = 13 6 + -3n = 13 + 4n + -6n Combine like terms: 4n + -6n = -2n 6 + -3n = 13 + -2n Solving 6 + -3n = 13 + -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 + -3n + 2n = 13 + -2n + 2n Combine like terms: -3n + 2n = -1n 6 + -1n = 13 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + -1n = 13 + 0 6 + -1n = 13 Add '-6' to each side of the equation. 6 + -6 + -1n = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 13 + -6 -1n = 13 + -6 Combine like terms: 13 + -6 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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