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Simplifying 6z + 9 = 3z + -12 Reorder the terms: 9 + 6z = 3z + -12 Reorder the terms: 9 + 6z = -12 + 3z Solving 9 + 6z = -12 + 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. 9 + 6z + -3z = -12 + 3z + -3z Combine like terms: 6z + -3z = 3z 9 + 3z = -12 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + 3z = -12 + 0 9 + 3z = -12 Add '-9' to each side of the equation. 9 + -9 + 3z = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3z = -12 + -9 3z = -12 + -9 Combine like terms: -12 + -9 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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