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Simplifying 6z + -29 = -34 + 7z Reorder the terms: -29 + 6z = -34 + 7z Solving -29 + 6z = -34 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -29 + 6z + -7z = -34 + 7z + -7z Combine like terms: 6z + -7z = -1z -29 + -1z = -34 + 7z + -7z Combine like terms: 7z + -7z = 0 -29 + -1z = -34 + 0 -29 + -1z = -34 Add '29' to each side of the equation. -29 + 29 + -1z = -34 + 29 Combine like terms: -29 + 29 = 0 0 + -1z = -34 + 29 -1z = -34 + 29 Combine like terms: -34 + 29 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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