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Simplifying 11z = 8z + -3(5 + -2z) 11z = 8z + (5 * -3 + -2z * -3) 11z = 8z + (-15 + 6z) Reorder the terms: 11z = -15 + 8z + 6z Combine like terms: 8z + 6z = 14z 11z = -15 + 14z Solving 11z = -15 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 11z + -14z = -15 + 14z + -14z Combine like terms: 11z + -14z = -3z -3z = -15 + 14z + -14z Combine like terms: 14z + -14z = 0 -3z = -15 + 0 -3z = -15 Divide each side by '-3'. z = 5 Simplifying z = 5
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