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Simplifying 40 + 5z = 10z + 20 Reorder the terms: 40 + 5z = 20 + 10z Solving 40 + 5z = 20 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 40 + 5z + -10z = 20 + 10z + -10z Combine like terms: 5z + -10z = -5z 40 + -5z = 20 + 10z + -10z Combine like terms: 10z + -10z = 0 40 + -5z = 20 + 0 40 + -5z = 20 Add '-40' to each side of the equation. 40 + -40 + -5z = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -5z = 20 + -40 -5z = 20 + -40 Combine like terms: 20 + -40 = -20 -5z = -20 Divide each side by '-5'. z = 4 Simplifying z = 4
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