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Simplifying 3z + 4 = 10z + -17 Reorder the terms: 4 + 3z = 10z + -17 Reorder the terms: 4 + 3z = -17 + 10z Solving 4 + 3z = -17 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 4 + 3z + -10z = -17 + 10z + -10z Combine like terms: 3z + -10z = -7z 4 + -7z = -17 + 10z + -10z Combine like terms: 10z + -10z = 0 4 + -7z = -17 + 0 4 + -7z = -17 Add '-4' to each side of the equation. 4 + -4 + -7z = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = -17 + -4 -7z = -17 + -4 Combine like terms: -17 + -4 = -21 -7z = -21 Divide each side by '-7'. z = 3 Simplifying z = 3
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