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Simplifying 5(10z + 6) = 20z Reorder the terms: 5(6 + 10z) = 20z (6 * 5 + 10z * 5) = 20z (30 + 50z) = 20z Solving 30 + 50z = 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. 30 + 50z + -20z = 20z + -20z Combine like terms: 50z + -20z = 30z 30 + 30z = 20z + -20z Combine like terms: 20z + -20z = 0 30 + 30z = 0 Add '-30' to each side of the equation. 30 + -30 + 30z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 30z = 0 + -30 30z = 0 + -30 Combine like terms: 0 + -30 = -30 30z = -30 Divide each side by '30'. z = -1 Simplifying z = -1
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