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Simplifying 9z + 36 + -3z + -9 = 3z + -12 + 2z + -6 Reorder the terms: 36 + -9 + 9z + -3z = 3z + -12 + 2z + -6 Combine like terms: 36 + -9 = 27 27 + 9z + -3z = 3z + -12 + 2z + -6 Combine like terms: 9z + -3z = 6z 27 + 6z = 3z + -12 + 2z + -6 Reorder the terms: 27 + 6z = -12 + -6 + 3z + 2z Combine like terms: -12 + -6 = -18 27 + 6z = -18 + 3z + 2z Combine like terms: 3z + 2z = 5z 27 + 6z = -18 + 5z Solving 27 + 6z = -18 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 27 + 6z + -5z = -18 + 5z + -5z Combine like terms: 6z + -5z = 1z 27 + 1z = -18 + 5z + -5z Combine like terms: 5z + -5z = 0 27 + 1z = -18 + 0 27 + 1z = -18 Add '-27' to each side of the equation. 27 + -27 + 1z = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 1z = -18 + -27 1z = -18 + -27 Combine like terms: -18 + -27 = -45 1z = -45 Divide each side by '1'. z = -45 Simplifying z = -45
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