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Simplifying 7 + -6z = 5z + 29 Reorder the terms: 7 + -6z = 29 + 5z Solving 7 + -6z = 29 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 7 + -6z + -5z = 29 + 5z + -5z Combine like terms: -6z + -5z = -11z 7 + -11z = 29 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + -11z = 29 + 0 7 + -11z = 29 Add '-7' to each side of the equation. 7 + -7 + -11z = 29 + -7 Combine like terms: 7 + -7 = 0 0 + -11z = 29 + -7 -11z = 29 + -7 Combine like terms: 29 + -7 = 22 -11z = 22 Divide each side by '-11'. z = -2 Simplifying z = -2
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