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Simplifying 4 + -12z + -6z = 9z + 13 Combine like terms: -12z + -6z = -18z 4 + -18z = 9z + 13 Reorder the terms: 4 + -18z = 13 + 9z Solving 4 + -18z = 13 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 4 + -18z + -9z = 13 + 9z + -9z Combine like terms: -18z + -9z = -27z 4 + -27z = 13 + 9z + -9z Combine like terms: 9z + -9z = 0 4 + -27z = 13 + 0 4 + -27z = 13 Add '-4' to each side of the equation. 4 + -4 + -27z = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -27z = 13 + -4 -27z = 13 + -4 Combine like terms: 13 + -4 = 9 -27z = 9 Divide each side by '-27'. z = -0.3333333333 Simplifying z = -0.3333333333
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