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Simplifying 12z + 12 + -3z + -9 = 4z + -12 + 4z + -12 Reorder the terms: 12 + -9 + 12z + -3z = 4z + -12 + 4z + -12 Combine like terms: 12 + -9 = 3 3 + 12z + -3z = 4z + -12 + 4z + -12 Combine like terms: 12z + -3z = 9z 3 + 9z = 4z + -12 + 4z + -12 Reorder the terms: 3 + 9z = -12 + -12 + 4z + 4z Combine like terms: -12 + -12 = -24 3 + 9z = -24 + 4z + 4z Combine like terms: 4z + 4z = 8z 3 + 9z = -24 + 8z Solving 3 + 9z = -24 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 3 + 9z + -8z = -24 + 8z + -8z Combine like terms: 9z + -8z = 1z 3 + 1z = -24 + 8z + -8z Combine like terms: 8z + -8z = 0 3 + 1z = -24 + 0 3 + 1z = -24 Add '-3' to each side of the equation. 3 + -3 + 1z = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = -24 + -3 1z = -24 + -3 Combine like terms: -24 + -3 = -27 1z = -27 Divide each side by '1'. z = -27 Simplifying z = -27
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