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Simplifying 8z + -11z = 3z + 42 Combine like terms: 8z + -11z = -3z -3z = 3z + 42 Reorder the terms: -3z = 42 + 3z Solving -3z = 42 + 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. -3z + -3z = 42 + 3z + -3z Combine like terms: -3z + -3z = -6z -6z = 42 + 3z + -3z Combine like terms: 3z + -3z = 0 -6z = 42 + 0 -6z = 42 Divide each side by '-6'. z = -7 Simplifying z = -7
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