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Simplifying n + 8 = 3n + -6 Reorder the terms: 8 + n = 3n + -6 Reorder the terms: 8 + n = -6 + 3n Solving 8 + n = -6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 8 + n + -3n = -6 + 3n + -3n Combine like terms: n + -3n = -2n 8 + -2n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -2n = -6 + 0 8 + -2n = -6 Add '-8' to each side of the equation. 8 + -8 + -2n = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = -6 + -8 -2n = -6 + -8 Combine like terms: -6 + -8 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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