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Simplifying 6z + -29 = -35 + 3z Reorder the terms: -29 + 6z = -35 + 3z Solving -29 + 6z = -35 + 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. -29 + 6z + -3z = -35 + 3z + -3z Combine like terms: 6z + -3z = 3z -29 + 3z = -35 + 3z + -3z Combine like terms: 3z + -3z = 0 -29 + 3z = -35 + 0 -29 + 3z = -35 Add '29' to each side of the equation. -29 + 29 + 3z = -35 + 29 Combine like terms: -29 + 29 = 0 0 + 3z = -35 + 29 3z = -35 + 29 Combine like terms: -35 + 29 = -6 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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