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Simplifying 6z + 35 = -6z + -35 Reorder the terms: 35 + 6z = -6z + -35 Reorder the terms: 35 + 6z = -35 + -6z Solving 35 + 6z = -35 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 35 + 6z + 6z = -35 + -6z + 6z Combine like terms: 6z + 6z = 12z 35 + 12z = -35 + -6z + 6z Combine like terms: -6z + 6z = 0 35 + 12z = -35 + 0 35 + 12z = -35 Add '-35' to each side of the equation. 35 + -35 + 12z = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 12z = -35 + -35 12z = -35 + -35 Combine like terms: -35 + -35 = -70 12z = -70 Divide each side by '12'. z = -5.833333333 Simplifying z = -5.833333333
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