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Simplifying 9z + 36 + -2z + -6 = 4z + -16 + 2z + -8 Reorder the terms: 36 + -6 + 9z + -2z = 4z + -16 + 2z + -8 Combine like terms: 36 + -6 = 30 30 + 9z + -2z = 4z + -16 + 2z + -8 Combine like terms: 9z + -2z = 7z 30 + 7z = 4z + -16 + 2z + -8 Reorder the terms: 30 + 7z = -16 + -8 + 4z + 2z Combine like terms: -16 + -8 = -24 30 + 7z = -24 + 4z + 2z Combine like terms: 4z + 2z = 6z 30 + 7z = -24 + 6z Solving 30 + 7z = -24 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 30 + 7z + -6z = -24 + 6z + -6z Combine like terms: 7z + -6z = 1z 30 + 1z = -24 + 6z + -6z Combine like terms: 6z + -6z = 0 30 + 1z = -24 + 0 30 + 1z = -24 Add '-30' to each side of the equation. 30 + -30 + 1z = -24 + -30 Combine like terms: 30 + -30 = 0 0 + 1z = -24 + -30 1z = -24 + -30 Combine like terms: -24 + -30 = -54 1z = -54 Divide each side by '1'. z = -54 Simplifying z = -54
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