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Simplifying 5z + 3 = 8z + -4z Reorder the terms: 3 + 5z = 8z + -4z Combine like terms: 8z + -4z = 4z 3 + 5z = 4z Solving 3 + 5z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 3 + 5z + -4z = 4z + -4z Combine like terms: 5z + -4z = 1z 3 + 1z = 4z + -4z Combine like terms: 4z + -4z = 0 3 + 1z = 0 Add '-3' to each side of the equation. 3 + -3 + 1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 0 + -3 1z = 0 + -3 Combine like terms: 0 + -3 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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