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Simplifying 4n + -2 = n + -6 + -2 Reorder the terms: -2 + 4n = n + -6 + -2 Reorder the terms: -2 + 4n = -6 + -2 + n Combine like terms: -6 + -2 = -8 -2 + 4n = -8 + n Solving -2 + 4n = -8 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + 4n + -1n = -8 + n + -1n Combine like terms: 4n + -1n = 3n -2 + 3n = -8 + n + -1n Combine like terms: n + -1n = 0 -2 + 3n = -8 + 0 -2 + 3n = -8 Add '2' to each side of the equation. -2 + 2 + 3n = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 3n = -8 + 2 3n = -8 + 2 Combine like terms: -8 + 2 = -6 3n = -6 Divide each side by '3'. n = -2 Simplifying n = -2
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