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Simplifying 27 + -3z = 4z + 69 Reorder the terms: 27 + -3z = 69 + 4z Solving 27 + -3z = 69 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 27 + -3z + -4z = 69 + 4z + -4z Combine like terms: -3z + -4z = -7z 27 + -7z = 69 + 4z + -4z Combine like terms: 4z + -4z = 0 27 + -7z = 69 + 0 27 + -7z = 69 Add '-27' to each side of the equation. 27 + -27 + -7z = 69 + -27 Combine like terms: 27 + -27 = 0 0 + -7z = 69 + -27 -7z = 69 + -27 Combine like terms: 69 + -27 = 42 -7z = 42 Divide each side by '-7'. z = -6 Simplifying z = -6
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