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Simplifying 18 + -2n + 2 = 4n + 8 Reorder the terms: 18 + 2 + -2n = 4n + 8 Combine like terms: 18 + 2 = 20 20 + -2n = 4n + 8 Reorder the terms: 20 + -2n = 8 + 4n Solving 20 + -2n = 8 + 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. 20 + -2n + -4n = 8 + 4n + -4n Combine like terms: -2n + -4n = -6n 20 + -6n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 20 + -6n = 8 + 0 20 + -6n = 8 Add '-20' to each side of the equation. 20 + -20 + -6n = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -6n = 8 + -20 -6n = 8 + -20 Combine like terms: 8 + -20 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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