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Simplifying 3z + -17 = 2z + 13 Reorder the terms: -17 + 3z = 2z + 13 Reorder the terms: -17 + 3z = 13 + 2z Solving -17 + 3z = 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. -17 + 3z + -2z = 13 + 2z + -2z Combine like terms: 3z + -2z = 1z -17 + 1z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 -17 + 1z = 13 + 0 -17 + 1z = 13 Add '17' to each side of the equation. -17 + 17 + 1z = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 1z = 13 + 17 1z = 13 + 17 Combine like terms: 13 + 17 = 30 1z = 30 Divide each side by '1'. z = 30 Simplifying z = 30
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