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Simplifying 3z + 7z = 4z + -7 + 8z Combine like terms: 3z + 7z = 10z 10z = 4z + -7 + 8z Reorder the terms: 10z = -7 + 4z + 8z Combine like terms: 4z + 8z = 12z 10z = -7 + 12z Solving 10z = -7 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 10z + -12z = -7 + 12z + -12z Combine like terms: 10z + -12z = -2z -2z = -7 + 12z + -12z Combine like terms: 12z + -12z = 0 -2z = -7 + 0 -2z = -7 Divide each side by '-2'. z = 3.5 Simplifying z = 3.5
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