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Simplifying 2n + -30 + 4n = 20 + -14n + -30 Reorder the terms: -30 + 2n + 4n = 20 + -14n + -30 Combine like terms: 2n + 4n = 6n -30 + 6n = 20 + -14n + -30 Reorder the terms: -30 + 6n = 20 + -30 + -14n Combine like terms: 20 + -30 = -10 -30 + 6n = -10 + -14n Solving -30 + 6n = -10 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -30 + 6n + 14n = -10 + -14n + 14n Combine like terms: 6n + 14n = 20n -30 + 20n = -10 + -14n + 14n Combine like terms: -14n + 14n = 0 -30 + 20n = -10 + 0 -30 + 20n = -10 Add '30' to each side of the equation. -30 + 30 + 20n = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 20n = -10 + 30 20n = -10 + 30 Combine like terms: -10 + 30 = 20 20n = 20 Divide each side by '20'. n = 1 Simplifying n = 1
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