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Simplifying 10(3z + 5) = 20z Reorder the terms: 10(5 + 3z) = 20z (5 * 10 + 3z * 10) = 20z (50 + 30z) = 20z Solving 50 + 30z = 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 50 + 30z + -20z = 20z + -20z Combine like terms: 30z + -20z = 10z 50 + 10z = 20z + -20z Combine like terms: 20z + -20z = 0 50 + 10z = 0 Add '-50' to each side of the equation. 50 + -50 + 10z = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 10z = 0 + -50 10z = 0 + -50 Combine like terms: 0 + -50 = -50 10z = -50 Divide each side by '10'. z = -5 Simplifying z = -5
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