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Simplifying -4z + 5z = 5z + 3 + -7 Combine like terms: -4z + 5z = 1z 1z = 5z + 3 + -7 Reorder the terms: 1z = 3 + -7 + 5z Combine like terms: 3 + -7 = -4 1z = -4 + 5z Solving 1z = -4 + 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. 1z + -5z = -4 + 5z + -5z Combine like terms: 1z + -5z = -4z -4z = -4 + 5z + -5z Combine like terms: 5z + -5z = 0 -4z = -4 + 0 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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