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Simplifying 8z + 8 + -2z = 48 + -2z Reorder the terms: 8 + 8z + -2z = 48 + -2z Combine like terms: 8z + -2z = 6z 8 + 6z = 48 + -2z Solving 8 + 6z = 48 + -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 + 6z + 2z = 48 + -2z + 2z Combine like terms: 6z + 2z = 8z 8 + 8z = 48 + -2z + 2z Combine like terms: -2z + 2z = 0 8 + 8z = 48 + 0 8 + 8z = 48 Add '-8' to each side of the equation. 8 + -8 + 8z = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 8z = 48 + -8 8z = 48 + -8 Combine like terms: 48 + -8 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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