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Simplifying 4 + 7z = 20 + -3z Solving 4 + 7z = 20 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 4 + 7z + 3z = 20 + -3z + 3z Combine like terms: 7z + 3z = 10z 4 + 10z = 20 + -3z + 3z Combine like terms: -3z + 3z = 0 4 + 10z = 20 + 0 4 + 10z = 20 Add '-4' to each side of the equation. 4 + -4 + 10z = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 10z = 20 + -4 10z = 20 + -4 Combine like terms: 20 + -4 = 16 10z = 16 Divide each side by '10'. z = 1.6 Simplifying z = 1.6
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