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Simplifying 8 + -1z = 5 + 5z Solving 8 + -1z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 8 + -1z + -5z = 5 + 5z + -5z Combine like terms: -1z + -5z = -6z 8 + -6z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 8 + -6z = 5 + 0 8 + -6z = 5 Add '-8' to each side of the equation. 8 + -8 + -6z = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -6z = 5 + -8 -6z = 5 + -8 Combine like terms: 5 + -8 = -3 -6z = -3 Divide each side by '-6'. z = 0.5 Simplifying z = 0.5
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