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Simplifying 9z + 9 + -2z + 4 = 4z + -8 + 2z + -8 Reorder the terms: 9 + 4 + 9z + -2z = 4z + -8 + 2z + -8 Combine like terms: 9 + 4 = 13 13 + 9z + -2z = 4z + -8 + 2z + -8 Combine like terms: 9z + -2z = 7z 13 + 7z = 4z + -8 + 2z + -8 Reorder the terms: 13 + 7z = -8 + -8 + 4z + 2z Combine like terms: -8 + -8 = -16 13 + 7z = -16 + 4z + 2z Combine like terms: 4z + 2z = 6z 13 + 7z = -16 + 6z Solving 13 + 7z = -16 + 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. 13 + 7z + -6z = -16 + 6z + -6z Combine like terms: 7z + -6z = 1z 13 + 1z = -16 + 6z + -6z Combine like terms: 6z + -6z = 0 13 + 1z = -16 + 0 13 + 1z = -16 Add '-13' to each side of the equation. 13 + -13 + 1z = -16 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = -16 + -13 1z = -16 + -13 Combine like terms: -16 + -13 = -29 1z = -29 Divide each side by '1'. z = -29 Simplifying z = -29
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