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