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Simplifying 2(2n + -4) = 2n + 6 Reorder the terms: 2(-4 + 2n) = 2n + 6 (-4 * 2 + 2n * 2) = 2n + 6 (-8 + 4n) = 2n + 6 Reorder the terms: -8 + 4n = 6 + 2n Solving -8 + 4n = 6 + 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 + 4n + -2n = 6 + 2n + -2n Combine like terms: 4n + -2n = 2n -8 + 2n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 2n = 6 + 0 -8 + 2n = 6 Add '8' to each side of the equation. -8 + 8 + 2n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 6 + 8 2n = 6 + 8 Combine like terms: 6 + 8 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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