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Simplifying 2z + 5 = 3z + 17 Reorder the terms: 5 + 2z = 3z + 17 Reorder the terms: 5 + 2z = 17 + 3z Solving 5 + 2z = 17 + 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. 5 + 2z + -3z = 17 + 3z + -3z Combine like terms: 2z + -3z = -1z 5 + -1z = 17 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + -1z = 17 + 0 5 + -1z = 17 Add '-5' to each side of the equation. 5 + -5 + -1z = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 17 + -5 -1z = 17 + -5 Combine like terms: 17 + -5 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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