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Simplifying 0.05z + 0.1(2z) + 0.25(100 + -3z) = 20 Remove parenthesis around (2z) 0.05z + 0.1 * 2z + 0.25(100 + -3z) = 20 Multiply 0.1 * 2 0.05z + 0.2z + 0.25(100 + -3z) = 20 0.05z + 0.2z + (100 * 0.25 + -3z * 0.25) = 20 0.05z + 0.2z + (25 + -0.75z) = 20 Reorder the terms: 25 + 0.05z + 0.2z + -0.75z = 20 Combine like terms: 0.05z + 0.2z = 0.25z 25 + 0.25z + -0.75z = 20 Combine like terms: 0.25z + -0.75z = -0.5z 25 + -0.5z = 20 Solving 25 + -0.5z = 20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -0.5z = 20 + -25 Combine like terms: 25 + -25 = 0 0 + -0.5z = 20 + -25 -0.5z = 20 + -25 Combine like terms: 20 + -25 = -5 -0.5z = -5 Divide each side by '-0.5'. z = 10 Simplifying z = 10
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