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Simplifying 4(2z + 1) = 6z + 15 Reorder the terms: 4(1 + 2z) = 6z + 15 (1 * 4 + 2z * 4) = 6z + 15 (4 + 8z) = 6z + 15 Reorder the terms: 4 + 8z = 15 + 6z Solving 4 + 8z = 15 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 4 + 8z + -6z = 15 + 6z + -6z Combine like terms: 8z + -6z = 2z 4 + 2z = 15 + 6z + -6z Combine like terms: 6z + -6z = 0 4 + 2z = 15 + 0 4 + 2z = 15 Add '-4' to each side of the equation. 4 + -4 + 2z = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = 15 + -4 2z = 15 + -4 Combine like terms: 15 + -4 = 11 2z = 11 Divide each side by '2'. z = 5.5 Simplifying z = 5.5
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