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Simplifying 8z + -12 = 2z + 22 Reorder the terms: -12 + 8z = 2z + 22 Reorder the terms: -12 + 8z = 22 + 2z Solving -12 + 8z = 22 + 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. -12 + 8z + -2z = 22 + 2z + -2z Combine like terms: 8z + -2z = 6z -12 + 6z = 22 + 2z + -2z Combine like terms: 2z + -2z = 0 -12 + 6z = 22 + 0 -12 + 6z = 22 Add '12' to each side of the equation. -12 + 12 + 6z = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 6z = 22 + 12 6z = 22 + 12 Combine like terms: 22 + 12 = 34 6z = 34 Divide each side by '6'. z = 5.666666667 Simplifying z = 5.666666667
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