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Simplifying 15 + 6z + -8 = 10z + -23 + -3z Reorder the terms: 15 + -8 + 6z = 10z + -23 + -3z Combine like terms: 15 + -8 = 7 7 + 6z = 10z + -23 + -3z Reorder the terms: 7 + 6z = -23 + 10z + -3z Combine like terms: 10z + -3z = 7z 7 + 6z = -23 + 7z Solving 7 + 6z = -23 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 7 + 6z + -7z = -23 + 7z + -7z Combine like terms: 6z + -7z = -1z 7 + -1z = -23 + 7z + -7z Combine like terms: 7z + -7z = 0 7 + -1z = -23 + 0 7 + -1z = -23 Add '-7' to each side of the equation. 7 + -7 + -1z = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = -23 + -7 -1z = -23 + -7 Combine like terms: -23 + -7 = -30 -1z = -30 Divide each side by '-1'. z = 30 Simplifying z = 30
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