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Simplifying 5n + -2n + -6 = 2n + -4n + -2 Reorder the terms: -6 + 5n + -2n = 2n + -4n + -2 Combine like terms: 5n + -2n = 3n -6 + 3n = 2n + -4n + -2 Reorder the terms: -6 + 3n = -2 + 2n + -4n Combine like terms: 2n + -4n = -2n -6 + 3n = -2 + -2n Solving -6 + 3n = -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 + 3n + 2n = -2 + -2n + 2n Combine like terms: 3n + 2n = 5n -6 + 5n = -2 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + 5n = -2 + 0 -6 + 5n = -2 Add '6' to each side of the equation. -6 + 6 + 5n = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = -2 + 6 5n = -2 + 6 Combine like terms: -2 + 6 = 4 5n = 4 Divide each side by '5'. n = 0.8 Simplifying n = 0.8
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