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Simplifying 100 + -99z = -11z + 12 Reorder the terms: 100 + -99z = 12 + -11z Solving 100 + -99z = 12 + -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. 100 + -99z + 11z = 12 + -11z + 11z Combine like terms: -99z + 11z = -88z 100 + -88z = 12 + -11z + 11z Combine like terms: -11z + 11z = 0 100 + -88z = 12 + 0 100 + -88z = 12 Add '-100' to each side of the equation. 100 + -100 + -88z = 12 + -100 Combine like terms: 100 + -100 = 0 0 + -88z = 12 + -100 -88z = 12 + -100 Combine like terms: 12 + -100 = -88 -88z = -88 Divide each side by '-88'. z = 1 Simplifying z = 1
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