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Simplifying 12z + -21 = 3z + 9 Reorder the terms: -21 + 12z = 3z + 9 Reorder the terms: -21 + 12z = 9 + 3z Solving -21 + 12z = 9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -21 + 12z + -3z = 9 + 3z + -3z Combine like terms: 12z + -3z = 9z -21 + 9z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 -21 + 9z = 9 + 0 -21 + 9z = 9 Add '21' to each side of the equation. -21 + 21 + 9z = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 9z = 9 + 21 9z = 9 + 21 Combine like terms: 9 + 21 = 30 9z = 30 Divide each side by '9'. z = 3.333333333 Simplifying z = 3.333333333
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