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Simplifying 5z + 3 + -2 = 4 + 3z + 2 Reorder the terms: 3 + -2 + 5z = 4 + 3z + 2 Combine like terms: 3 + -2 = 1 1 + 5z = 4 + 3z + 2 Reorder the terms: 1 + 5z = 4 + 2 + 3z Combine like terms: 4 + 2 = 6 1 + 5z = 6 + 3z Solving 1 + 5z = 6 + 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. 1 + 5z + -3z = 6 + 3z + -3z Combine like terms: 5z + -3z = 2z 1 + 2z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 2z = 6 + 0 1 + 2z = 6 Add '-1' to each side of the equation. 1 + -1 + 2z = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 6 + -1 2z = 6 + -1 Combine like terms: 6 + -1 = 5 2z = 5 Divide each side by '2'. z = 2.5 Simplifying z = 2.5
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