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Simplifying 4n + -6n + 8 = 2n + -8 Reorder the terms: 8 + 4n + -6n = 2n + -8 Combine like terms: 4n + -6n = -2n 8 + -2n = 2n + -8 Reorder the terms: 8 + -2n = -8 + 2n Solving 8 + -2n = -8 + 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. 8 + -2n + -2n = -8 + 2n + -2n Combine like terms: -2n + -2n = -4n 8 + -4n = -8 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + -4n = -8 + 0 8 + -4n = -8 Add '-8' to each side of the equation. 8 + -8 + -4n = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -8 + -8 -4n = -8 + -8 Combine like terms: -8 + -8 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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