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Simplifying 40 + -7z = 10z + -4 Reorder the terms: 40 + -7z = -4 + 10z Solving 40 + -7z = -4 + 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. 40 + -7z + -10z = -4 + 10z + -10z Combine like terms: -7z + -10z = -17z 40 + -17z = -4 + 10z + -10z Combine like terms: 10z + -10z = 0 40 + -17z = -4 + 0 40 + -17z = -4 Add '-40' to each side of the equation. 40 + -40 + -17z = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -17z = -4 + -40 -17z = -4 + -40 Combine like terms: -4 + -40 = -44 -17z = -44 Divide each side by '-17'. z = 2.588235294 Simplifying z = 2.588235294
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