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