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Simplifying 34z + -21 = 23z + 100 Reorder the terms: -21 + 34z = 23z + 100 Reorder the terms: -21 + 34z = 100 + 23z Solving -21 + 34z = 100 + 23z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23z' to each side of the equation. -21 + 34z + -23z = 100 + 23z + -23z Combine like terms: 34z + -23z = 11z -21 + 11z = 100 + 23z + -23z Combine like terms: 23z + -23z = 0 -21 + 11z = 100 + 0 -21 + 11z = 100 Add '21' to each side of the equation. -21 + 21 + 11z = 100 + 21 Combine like terms: -21 + 21 = 0 0 + 11z = 100 + 21 11z = 100 + 21 Combine like terms: 100 + 21 = 121 11z = 121 Divide each side by '11'. z = 11 Simplifying z = 11
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