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Simplifying 11z + 34 = -1z + -49 Reorder the terms: 34 + 11z = -1z + -49 Reorder the terms: 34 + 11z = -49 + -1z Solving 34 + 11z = -49 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 34 + 11z + z = -49 + -1z + z Combine like terms: 11z + z = 12z 34 + 12z = -49 + -1z + z Combine like terms: -1z + z = 0 34 + 12z = -49 + 0 34 + 12z = -49 Add '-34' to each side of the equation. 34 + -34 + 12z = -49 + -34 Combine like terms: 34 + -34 = 0 0 + 12z = -49 + -34 12z = -49 + -34 Combine like terms: -49 + -34 = -83 12z = -83 Divide each side by '12'. z = -6.916666667 Simplifying z = -6.916666667
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