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