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Simplifying 4z + 5 + -1z = 1 + 2z + 3 Reorder the terms: 5 + 4z + -1z = 1 + 2z + 3 Combine like terms: 4z + -1z = 3z 5 + 3z = 1 + 2z + 3 Reorder the terms: 5 + 3z = 1 + 3 + 2z Combine like terms: 1 + 3 = 4 5 + 3z = 4 + 2z Solving 5 + 3z = 4 + 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. 5 + 3z + -2z = 4 + 2z + -2z Combine like terms: 3z + -2z = 1z 5 + 1z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 1z = 4 + 0 5 + 1z = 4 Add '-5' to each side of the equation. 5 + -5 + 1z = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 4 + -5 1z = 4 + -5 Combine like terms: 4 + -5 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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