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Simplifying 3z + -27 = -47 + 7z Reorder the terms: -27 + 3z = -47 + 7z Solving -27 + 3z = -47 + 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 + 3z + -7z = -47 + 7z + -7z Combine like terms: 3z + -7z = -4z -27 + -4z = -47 + 7z + -7z Combine like terms: 7z + -7z = 0 -27 + -4z = -47 + 0 -27 + -4z = -47 Add '27' to each side of the equation. -27 + 27 + -4z = -47 + 27 Combine like terms: -27 + 27 = 0 0 + -4z = -47 + 27 -4z = -47 + 27 Combine like terms: -47 + 27 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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