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Simplifying 4z + 3 = 2z + 13 Reorder the terms: 3 + 4z = 2z + 13 Reorder the terms: 3 + 4z = 13 + 2z Solving 3 + 4z = 13 + 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. 3 + 4z + -2z = 13 + 2z + -2z Combine like terms: 4z + -2z = 2z 3 + 2z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 2z = 13 + 0 3 + 2z = 13 Add '-3' to each side of the equation. 3 + -3 + 2z = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = 13 + -3 2z = 13 + -3 Combine like terms: 13 + -3 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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