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Simplifying 27 + -9z = 3(4z + 2) Reorder the terms: 27 + -9z = 3(2 + 4z) 27 + -9z = (2 * 3 + 4z * 3) 27 + -9z = (6 + 12z) Solving 27 + -9z = 6 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 27 + -9z + -12z = 6 + 12z + -12z Combine like terms: -9z + -12z = -21z 27 + -21z = 6 + 12z + -12z Combine like terms: 12z + -12z = 0 27 + -21z = 6 + 0 27 + -21z = 6 Add '-27' to each side of the equation. 27 + -27 + -21z = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -21z = 6 + -27 -21z = 6 + -27 Combine like terms: 6 + -27 = -21 -21z = -21 Divide each side by '-21'. z = 1 Simplifying z = 1
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