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Simplifying 8z + 9 + -12z = 4z + -13 + 5Z Reorder the terms: 9 + 8z + -12z = 4z + -13 + 5Z Combine like terms: 8z + -12z = -4z 9 + -4z = 4z + -13 + 5Z Reorder the terms: 9 + -4z = -13 + 5Z + 4z Solving 9 + -4z = -13 + 5Z + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 9 + -4z + -4z = -13 + 5Z + 4z + -4z Combine like terms: -4z + -4z = -8z 9 + -8z = -13 + 5Z + 4z + -4z Combine like terms: 4z + -4z = 0 9 + -8z = -13 + 5Z + 0 9 + -8z = -13 + 5Z Add '-9' to each side of the equation. 9 + -9 + -8z = -13 + -9 + 5Z Combine like terms: 9 + -9 = 0 0 + -8z = -13 + -9 + 5Z -8z = -13 + -9 + 5Z Combine like terms: -13 + -9 = -22 -8z = -22 + 5Z Divide each side by '-8'. z = 2.75 + -0.625Z Simplifying z = 2.75 + -0.625Z
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