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Simplifying 8z + 2 = -3z + 24 Reorder the terms: 2 + 8z = -3z + 24 Reorder the terms: 2 + 8z = 24 + -3z Solving 2 + 8z = 24 + -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. 2 + 8z + 3z = 24 + -3z + 3z Combine like terms: 8z + 3z = 11z 2 + 11z = 24 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + 11z = 24 + 0 2 + 11z = 24 Add '-2' to each side of the equation. 2 + -2 + 11z = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 11z = 24 + -2 11z = 24 + -2 Combine like terms: 24 + -2 = 22 11z = 22 Divide each side by '11'. z = 2 Simplifying z = 2
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