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Simplifying 2(2z + 5) = 5(3z + 2) Reorder the terms: 2(5 + 2z) = 5(3z + 2) (5 * 2 + 2z * 2) = 5(3z + 2) (10 + 4z) = 5(3z + 2) Reorder the terms: 10 + 4z = 5(2 + 3z) 10 + 4z = (2 * 5 + 3z * 5) 10 + 4z = (10 + 15z) Add '-10' to each side of the equation. 10 + -10 + 4z = 10 + -10 + 15z Combine like terms: 10 + -10 = 0 0 + 4z = 10 + -10 + 15z 4z = 10 + -10 + 15z Combine like terms: 10 + -10 = 0 4z = 0 + 15z 4z = 15z Solving 4z = 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 4z + -15z = 15z + -15z Combine like terms: 4z + -15z = -11z -11z = 15z + -15z Combine like terms: 15z + -15z = 0 -11z = 0 Divide each side by '-11'. z = 0 Simplifying z = 0
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