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Simplifying 8z + 4 = 5z + -5 Reorder the terms: 4 + 8z = 5z + -5 Reorder the terms: 4 + 8z = -5 + 5z Solving 4 + 8z = -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. 4 + 8z + -5z = -5 + 5z + -5z Combine like terms: 8z + -5z = 3z 4 + 3z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 3z = -5 + 0 4 + 3z = -5 Add '-4' to each side of the equation. 4 + -4 + 3z = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = -5 + -4 3z = -5 + -4 Combine like terms: -5 + -4 = -9 3z = -9 Divide each side by '3'. z = -3 Simplifying z = -3
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