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Simplifying 14 + 2n = 20 + 1.5n Solving 14 + 2n = 20 + 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. 14 + 2n + -1.5n = 20 + 1.5n + -1.5n Combine like terms: 2n + -1.5n = 0.5n 14 + 0.5n = 20 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 14 + 0.5n = 20 + 0.0 14 + 0.5n = 20 Add '-14' to each side of the equation. 14 + -14 + 0.5n = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 0.5n = 20 + -14 0.5n = 20 + -14 Combine like terms: 20 + -14 = 6 0.5n = 6 Divide each side by '0.5'. n = 12 Simplifying n = 12
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