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Simplifying 6z + -5 + 5z = 36 + -7z Reorder the terms: -5 + 6z + 5z = 36 + -7z Combine like terms: 6z + 5z = 11z -5 + 11z = 36 + -7z Solving -5 + 11z = 36 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -5 + 11z + 7z = 36 + -7z + 7z Combine like terms: 11z + 7z = 18z -5 + 18z = 36 + -7z + 7z Combine like terms: -7z + 7z = 0 -5 + 18z = 36 + 0 -5 + 18z = 36 Add '5' to each side of the equation. -5 + 5 + 18z = 36 + 5 Combine like terms: -5 + 5 = 0 0 + 18z = 36 + 5 18z = 36 + 5 Combine like terms: 36 + 5 = 41 18z = 41 Divide each side by '18'. z = 2.277777778 Simplifying z = 2.277777778
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