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Simplifying 0.5(10 + -1n) = 2n (10 * 0.5 + -1n * 0.5) = 2n (5 + -0.5n) = 2n Solving 5 + -0.5n = 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. 5 + -0.5n + -2n = 2n + -2n Combine like terms: -0.5n + -2n = -2.5n 5 + -2.5n = 2n + -2n Combine like terms: 2n + -2n = 0 5 + -2.5n = 0 Add '-5' to each side of the equation. 5 + -5 + -2.5n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.5n = 0 + -5 -2.5n = 0 + -5 Combine like terms: 0 + -5 = -5 -2.5n = -5 Divide each side by '-2.5'. n = 2 Simplifying n = 2
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