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Simplifying n + -6 + n = 10 + 9n + -2 Reorder the terms: -6 + n + n = 10 + 9n + -2 Combine like terms: n + n = 2n -6 + 2n = 10 + 9n + -2 Reorder the terms: -6 + 2n = 10 + -2 + 9n Combine like terms: 10 + -2 = 8 -6 + 2n = 8 + 9n Solving -6 + 2n = 8 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -6 + 2n + -9n = 8 + 9n + -9n Combine like terms: 2n + -9n = -7n -6 + -7n = 8 + 9n + -9n Combine like terms: 9n + -9n = 0 -6 + -7n = 8 + 0 -6 + -7n = 8 Add '6' to each side of the equation. -6 + 6 + -7n = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -7n = 8 + 6 -7n = 8 + 6 Combine like terms: 8 + 6 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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