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Simplifying 4 + -2z = 8 + -5z Solving 4 + -2z = 8 + -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. 4 + -2z + 5z = 8 + -5z + 5z Combine like terms: -2z + 5z = 3z 4 + 3z = 8 + -5z + 5z Combine like terms: -5z + 5z = 0 4 + 3z = 8 + 0 4 + 3z = 8 Add '-4' to each side of the equation. 4 + -4 + 3z = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 8 + -4 3z = 8 + -4 Combine like terms: 8 + -4 = 4 3z = 4 Divide each side by '3'. z = 1.333333333 Simplifying z = 1.333333333
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