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Simplifying 11z + 86 = 34z + -29 Reorder the terms: 86 + 11z = 34z + -29 Reorder the terms: 86 + 11z = -29 + 34z Solving 86 + 11z = -29 + 34z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-34z' to each side of the equation. 86 + 11z + -34z = -29 + 34z + -34z Combine like terms: 11z + -34z = -23z 86 + -23z = -29 + 34z + -34z Combine like terms: 34z + -34z = 0 86 + -23z = -29 + 0 86 + -23z = -29 Add '-86' to each side of the equation. 86 + -86 + -23z = -29 + -86 Combine like terms: 86 + -86 = 0 0 + -23z = -29 + -86 -23z = -29 + -86 Combine like terms: -29 + -86 = -115 -23z = -115 Divide each side by '-23'. z = 5 Simplifying z = 5
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