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Simplifying -4(z + -9) = -9(z + 3) Reorder the terms: -4(-9 + z) = -9(z + 3) (-9 * -4 + z * -4) = -9(z + 3) (36 + -4z) = -9(z + 3) Reorder the terms: 36 + -4z = -9(3 + z) 36 + -4z = (3 * -9 + z * -9) 36 + -4z = (-27 + -9z) Solving 36 + -4z = -27 + -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. 36 + -4z + 9z = -27 + -9z + 9z Combine like terms: -4z + 9z = 5z 36 + 5z = -27 + -9z + 9z Combine like terms: -9z + 9z = 0 36 + 5z = -27 + 0 36 + 5z = -27 Add '-36' to each side of the equation. 36 + -36 + 5z = -27 + -36 Combine like terms: 36 + -36 = 0 0 + 5z = -27 + -36 5z = -27 + -36 Combine like terms: -27 + -36 = -63 5z = -63 Divide each side by '5'. z = -12.6 Simplifying z = -12.6
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