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Simplifying 3z + -27 = -21 + 9z Reorder the terms: -27 + 3z = -21 + 9z Solving -27 + 3z = -21 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -27 + 3z + -9z = -21 + 9z + -9z Combine like terms: 3z + -9z = -6z -27 + -6z = -21 + 9z + -9z Combine like terms: 9z + -9z = 0 -27 + -6z = -21 + 0 -27 + -6z = -21 Add '27' to each side of the equation. -27 + 27 + -6z = -21 + 27 Combine like terms: -27 + 27 = 0 0 + -6z = -21 + 27 -6z = -21 + 27 Combine like terms: -21 + 27 = 6 -6z = 6 Divide each side by '-6'. z = -1 Simplifying z = -1
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