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Simplifying 3 + 2z + -1 = 8z + 8 + -52 Reorder the terms: 3 + -1 + 2z = 8z + 8 + -52 Combine like terms: 3 + -1 = 2 2 + 2z = 8z + 8 + -52 Reorder the terms: 2 + 2z = 8 + -52 + 8z Combine like terms: 8 + -52 = -44 2 + 2z = -44 + 8z Solving 2 + 2z = -44 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 2 + 2z + -8z = -44 + 8z + -8z Combine like terms: 2z + -8z = -6z 2 + -6z = -44 + 8z + -8z Combine like terms: 8z + -8z = 0 2 + -6z = -44 + 0 2 + -6z = -44 Add '-2' to each side of the equation. 2 + -2 + -6z = -44 + -2 Combine like terms: 2 + -2 = 0 0 + -6z = -44 + -2 -6z = -44 + -2 Combine like terms: -44 + -2 = -46 -6z = -46 Divide each side by '-6'. z = 7.666666667 Simplifying z = 7.666666667
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