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Simplifying 10z + 3z + -8 = 25 + 2z Reorder the terms: -8 + 10z + 3z = 25 + 2z Combine like terms: 10z + 3z = 13z -8 + 13z = 25 + 2z Solving -8 + 13z = 25 + 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. -8 + 13z + -2z = 25 + 2z + -2z Combine like terms: 13z + -2z = 11z -8 + 11z = 25 + 2z + -2z Combine like terms: 2z + -2z = 0 -8 + 11z = 25 + 0 -8 + 11z = 25 Add '8' to each side of the equation. -8 + 8 + 11z = 25 + 8 Combine like terms: -8 + 8 = 0 0 + 11z = 25 + 8 11z = 25 + 8 Combine like terms: 25 + 8 = 33 11z = 33 Divide each side by '11'. z = 3 Simplifying z = 3
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