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Simplifying 10z + -5 + -2z = 11 + 4z Reorder the terms: -5 + 10z + -2z = 11 + 4z Combine like terms: 10z + -2z = 8z -5 + 8z = 11 + 4z Solving -5 + 8z = 11 + 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. -5 + 8z + -4z = 11 + 4z + -4z Combine like terms: 8z + -4z = 4z -5 + 4z = 11 + 4z + -4z Combine like terms: 4z + -4z = 0 -5 + 4z = 11 + 0 -5 + 4z = 11 Add '5' to each side of the equation. -5 + 5 + 4z = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 4z = 11 + 5 4z = 11 + 5 Combine like terms: 11 + 5 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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