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Simplifying 4(n + -2) + 2n = 20 + 2n Reorder the terms: 4(-2 + n) + 2n = 20 + 2n (-2 * 4 + n * 4) + 2n = 20 + 2n (-8 + 4n) + 2n = 20 + 2n Combine like terms: 4n + 2n = 6n -8 + 6n = 20 + 2n Solving -8 + 6n = 20 + 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 + 6n + -2n = 20 + 2n + -2n Combine like terms: 6n + -2n = 4n -8 + 4n = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 4n = 20 + 0 -8 + 4n = 20 Add '8' to each side of the equation. -8 + 8 + 4n = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 20 + 8 4n = 20 + 8 Combine like terms: 20 + 8 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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