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Simplifying 8 + -1z = 3z + 22 Reorder the terms: 8 + -1z = 22 + 3z Solving 8 + -1z = 22 + 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. 8 + -1z + -3z = 22 + 3z + -3z Combine like terms: -1z + -3z = -4z 8 + -4z = 22 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + -4z = 22 + 0 8 + -4z = 22 Add '-8' to each side of the equation. 8 + -8 + -4z = 22 + -8 Combine like terms: 8 + -8 = 0 0 + -4z = 22 + -8 -4z = 22 + -8 Combine like terms: 22 + -8 = 14 -4z = 14 Divide each side by '-4'. z = -3.5 Simplifying z = -3.5
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