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Simplifying 4z + 1 + -1z = 5 + 2z + -3 Reorder the terms: 1 + 4z + -1z = 5 + 2z + -3 Combine like terms: 4z + -1z = 3z 1 + 3z = 5 + 2z + -3 Reorder the terms: 1 + 3z = 5 + -3 + 2z Combine like terms: 5 + -3 = 2 1 + 3z = 2 + 2z Solving 1 + 3z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 3z + -2z = 2 + 2z + -2z Combine like terms: 3z + -2z = 1z 1 + 1z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 1z = 2 + 0 1 + 1z = 2 Add '-1' to each side of the equation. 1 + -1 + 1z = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 2 + -1 1z = 2 + -1 Combine like terms: 2 + -1 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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