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Simplifying 9z + 18 + -2z + 8 = 2z + -4 + 4z + -8 Reorder the terms: 18 + 8 + 9z + -2z = 2z + -4 + 4z + -8 Combine like terms: 18 + 8 = 26 26 + 9z + -2z = 2z + -4 + 4z + -8 Combine like terms: 9z + -2z = 7z 26 + 7z = 2z + -4 + 4z + -8 Reorder the terms: 26 + 7z = -4 + -8 + 2z + 4z Combine like terms: -4 + -8 = -12 26 + 7z = -12 + 2z + 4z Combine like terms: 2z + 4z = 6z 26 + 7z = -12 + 6z Solving 26 + 7z = -12 + 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. 26 + 7z + -6z = -12 + 6z + -6z Combine like terms: 7z + -6z = 1z 26 + 1z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 26 + 1z = -12 + 0 26 + 1z = -12 Add '-26' to each side of the equation. 26 + -26 + 1z = -12 + -26 Combine like terms: 26 + -26 = 0 0 + 1z = -12 + -26 1z = -12 + -26 Combine like terms: -12 + -26 = -38 1z = -38 Divide each side by '1'. z = -38 Simplifying z = -38
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