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Simplifying 0.35(80) + 0.15z = 0.25(80 + z) Multiply 0.35 * 80 28 + 0.15z = 0.25(80 + z) 28 + 0.15z = (80 * 0.25 + z * 0.25) 28 + 0.15z = (20 + 0.25z) Solving 28 + 0.15z = 20 + 0.25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.25z' to each side of the equation. 28 + 0.15z + -0.25z = 20 + 0.25z + -0.25z Combine like terms: 0.15z + -0.25z = -0.1z 28 + -0.1z = 20 + 0.25z + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 28 + -0.1z = 20 + 0.00 28 + -0.1z = 20 Add '-28' to each side of the equation. 28 + -28 + -0.1z = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -0.1z = 20 + -28 -0.1z = 20 + -28 Combine like terms: 20 + -28 = -8 -0.1z = -8 Divide each side by '-0.1'. z = 80 Simplifying z = 80
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