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Simplifying 7 + 6z + -5 = 9z + 29 + -6z Reorder the terms: 7 + -5 + 6z = 9z + 29 + -6z Combine like terms: 7 + -5 = 2 2 + 6z = 9z + 29 + -6z Reorder the terms: 2 + 6z = 29 + 9z + -6z Combine like terms: 9z + -6z = 3z 2 + 6z = 29 + 3z Solving 2 + 6z = 29 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2 + 6z + -3z = 29 + 3z + -3z Combine like terms: 6z + -3z = 3z 2 + 3z = 29 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 3z = 29 + 0 2 + 3z = 29 Add '-2' to each side of the equation. 2 + -2 + 3z = 29 + -2 Combine like terms: 2 + -2 = 0 0 + 3z = 29 + -2 3z = 29 + -2 Combine like terms: 29 + -2 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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