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Simplifying 4z + 17 = 2z + 19 Reorder the terms: 17 + 4z = 2z + 19 Reorder the terms: 17 + 4z = 19 + 2z Solving 17 + 4z = 19 + 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. 17 + 4z + -2z = 19 + 2z + -2z Combine like terms: 4z + -2z = 2z 17 + 2z = 19 + 2z + -2z Combine like terms: 2z + -2z = 0 17 + 2z = 19 + 0 17 + 2z = 19 Add '-17' to each side of the equation. 17 + -17 + 2z = 19 + -17 Combine like terms: 17 + -17 = 0 0 + 2z = 19 + -17 2z = 19 + -17 Combine like terms: 19 + -17 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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