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Simplifying 30 + 7z = 10z + -4 Reorder the terms: 30 + 7z = -4 + 10z Solving 30 + 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. 30 + 7z + -10z = -4 + 10z + -10z Combine like terms: 7z + -10z = -3z 30 + -3z = -4 + 10z + -10z Combine like terms: 10z + -10z = 0 30 + -3z = -4 + 0 30 + -3z = -4 Add '-30' to each side of the equation. 30 + -30 + -3z = -4 + -30 Combine like terms: 30 + -30 = 0 0 + -3z = -4 + -30 -3z = -4 + -30 Combine like terms: -4 + -30 = -34 -3z = -34 Divide each side by '-3'. z = 11.33333333 Simplifying z = 11.33333333
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