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Simplifying 3z + 4 + -1z = 17 + -11z Reorder the terms: 4 + 3z + -1z = 17 + -11z Combine like terms: 3z + -1z = 2z 4 + 2z = 17 + -11z Solving 4 + 2z = 17 + -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. 4 + 2z + 11z = 17 + -11z + 11z Combine like terms: 2z + 11z = 13z 4 + 13z = 17 + -11z + 11z Combine like terms: -11z + 11z = 0 4 + 13z = 17 + 0 4 + 13z = 17 Add '-4' to each side of the equation. 4 + -4 + 13z = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 13z = 17 + -4 13z = 17 + -4 Combine like terms: 17 + -4 = 13 13z = 13 Divide each side by '13'. z = 1 Simplifying z = 1
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