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Simplifying 7z + 3 + -42 = 24 + -4z Reorder the terms: 3 + -42 + 7z = 24 + -4z Combine like terms: 3 + -42 = -39 -39 + 7z = 24 + -4z Solving -39 + 7z = 24 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -39 + 7z + 4z = 24 + -4z + 4z Combine like terms: 7z + 4z = 11z -39 + 11z = 24 + -4z + 4z Combine like terms: -4z + 4z = 0 -39 + 11z = 24 + 0 -39 + 11z = 24 Add '39' to each side of the equation. -39 + 39 + 11z = 24 + 39 Combine like terms: -39 + 39 = 0 0 + 11z = 24 + 39 11z = 24 + 39 Combine like terms: 24 + 39 = 63 11z = 63 Divide each side by '11'. z = 5.727272727 Simplifying z = 5.727272727
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