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