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Simplifying 8z + -8 = 2z + 52 Reorder the terms: -8 + 8z = 2z + 52 Reorder the terms: -8 + 8z = 52 + 2z Solving -8 + 8z = 52 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -8 + 8z + -2z = 52 + 2z + -2z Combine like terms: 8z + -2z = 6z -8 + 6z = 52 + 2z + -2z Combine like terms: 2z + -2z = 0 -8 + 6z = 52 + 0 -8 + 6z = 52 Add '8' to each side of the equation. -8 + 8 + 6z = 52 + 8 Combine like terms: -8 + 8 = 0 0 + 6z = 52 + 8 6z = 52 + 8 Combine like terms: 52 + 8 = 60 6z = 60 Divide each side by '6'. z = 10 Simplifying z = 10
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