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Simplifying 15z + 7 = 4(2z + 3) Reorder the terms: 7 + 15z = 4(2z + 3) Reorder the terms: 7 + 15z = 4(3 + 2z) 7 + 15z = (3 * 4 + 2z * 4) 7 + 15z = (12 + 8z) Solving 7 + 15z = 12 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 7 + 15z + -8z = 12 + 8z + -8z Combine like terms: 15z + -8z = 7z 7 + 7z = 12 + 8z + -8z Combine like terms: 8z + -8z = 0 7 + 7z = 12 + 0 7 + 7z = 12 Add '-7' to each side of the equation. 7 + -7 + 7z = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 7z = 12 + -7 7z = 12 + -7 Combine like terms: 12 + -7 = 5 7z = 5 Divide each side by '7'. z = 0.7142857143 Simplifying z = 0.7142857143
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