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Simplifying 5(2z + 1) = 4z + 11 Reorder the terms: 5(1 + 2z) = 4z + 11 (1 * 5 + 2z * 5) = 4z + 11 (5 + 10z) = 4z + 11 Reorder the terms: 5 + 10z = 11 + 4z Solving 5 + 10z = 11 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 5 + 10z + -4z = 11 + 4z + -4z Combine like terms: 10z + -4z = 6z 5 + 6z = 11 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + 6z = 11 + 0 5 + 6z = 11 Add '-5' to each side of the equation. 5 + -5 + 6z = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = 11 + -5 6z = 11 + -5 Combine like terms: 11 + -5 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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