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Simplifying -4(3z + -9) = -9(3z + 3) Reorder the terms: -4(-9 + 3z) = -9(3z + 3) (-9 * -4 + 3z * -4) = -9(3z + 3) (36 + -12z) = -9(3z + 3) Reorder the terms: 36 + -12z = -9(3 + 3z) 36 + -12z = (3 * -9 + 3z * -9) 36 + -12z = (-27 + -27z) Solving 36 + -12z = -27 + -27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27z' to each side of the equation. 36 + -12z + 27z = -27 + -27z + 27z Combine like terms: -12z + 27z = 15z 36 + 15z = -27 + -27z + 27z Combine like terms: -27z + 27z = 0 36 + 15z = -27 + 0 36 + 15z = -27 Add '-36' to each side of the equation. 36 + -36 + 15z = -27 + -36 Combine like terms: 36 + -36 = 0 0 + 15z = -27 + -36 15z = -27 + -36 Combine like terms: -27 + -36 = -63 15z = -63 Divide each side by '15'. z = -4.2 Simplifying z = -4.2
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