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Simplifying 160(0.40) + 0.25n = 0.50(160 + n) Multiply 160 * 0.40 64 + 0.25n = 0.50(160 + n) 64 + 0.25n = (160 * 0.50 + n * 0.50) 64 + 0.25n = (80 + 0.50n) Solving 64 + 0.25n = 80 + 0.50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.50n' to each side of the equation. 64 + 0.25n + -0.50n = 80 + 0.50n + -0.50n Combine like terms: 0.25n + -0.50n = -0.25n 64 + -0.25n = 80 + 0.50n + -0.50n Combine like terms: 0.50n + -0.50n = 0.00 64 + -0.25n = 80 + 0.00 64 + -0.25n = 80 Add '-64' to each side of the equation. 64 + -64 + -0.25n = 80 + -64 Combine like terms: 64 + -64 = 0 0 + -0.25n = 80 + -64 -0.25n = 80 + -64 Combine like terms: 80 + -64 = 16 -0.25n = 16 Divide each side by '-0.25'. n = -64 Simplifying n = -64
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