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Simplifying 2(n + -2) = 4n + 6 Reorder the terms: 2(-2 + n) = 4n + 6 (-2 * 2 + n * 2) = 4n + 6 (-4 + 2n) = 4n + 6 Reorder the terms: -4 + 2n = 6 + 4n Solving -4 + 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. -4 + 2n + -4n = 6 + 4n + -4n Combine like terms: 2n + -4n = -2n -4 + -2n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -4 + -2n = 6 + 0 -4 + -2n = 6 Add '4' to each side of the equation. -4 + 4 + -2n = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2n = 6 + 4 -2n = 6 + 4 Combine like terms: 6 + 4 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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