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Simplifying 3z + -29 = 1 + 9z Reorder the terms: -29 + 3z = 1 + 9z Solving -29 + 3z = 1 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -29 + 3z + -9z = 1 + 9z + -9z Combine like terms: 3z + -9z = -6z -29 + -6z = 1 + 9z + -9z Combine like terms: 9z + -9z = 0 -29 + -6z = 1 + 0 -29 + -6z = 1 Add '29' to each side of the equation. -29 + 29 + -6z = 1 + 29 Combine like terms: -29 + 29 = 0 0 + -6z = 1 + 29 -6z = 1 + 29 Combine like terms: 1 + 29 = 30 -6z = 30 Divide each side by '-6'. z = -5 Simplifying z = -5
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