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Simplifying 4z + -27 = 42 + 7z Reorder the terms: -27 + 4z = 42 + 7z Solving -27 + 4z = 42 + 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. -27 + 4z + -7z = 42 + 7z + -7z Combine like terms: 4z + -7z = -3z -27 + -3z = 42 + 7z + -7z Combine like terms: 7z + -7z = 0 -27 + -3z = 42 + 0 -27 + -3z = 42 Add '27' to each side of the equation. -27 + 27 + -3z = 42 + 27 Combine like terms: -27 + 27 = 0 0 + -3z = 42 + 27 -3z = 42 + 27 Combine like terms: 42 + 27 = 69 -3z = 69 Divide each side by '-3'. z = -23 Simplifying z = -23
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