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Simplifying 3(5z + 9) + -4(z + -9) = 0 Reorder the terms: 3(9 + 5z) + -4(z + -9) = 0 (9 * 3 + 5z * 3) + -4(z + -9) = 0 (27 + 15z) + -4(z + -9) = 0 Reorder the terms: 27 + 15z + -4(-9 + z) = 0 27 + 15z + (-9 * -4 + z * -4) = 0 27 + 15z + (36 + -4z) = 0 Reorder the terms: 27 + 36 + 15z + -4z = 0 Combine like terms: 27 + 36 = 63 63 + 15z + -4z = 0 Combine like terms: 15z + -4z = 11z 63 + 11z = 0 Solving 63 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 11z = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 11z = 0 + -63 11z = 0 + -63 Combine like terms: 0 + -63 = -63 11z = -63 Divide each side by '11'. z = -5.727272727 Simplifying z = -5.727272727
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