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Simplifying -3.6(-4z + -9) + 0.6z = 0 Reorder the terms: -3.6(-9 + -4z) + 0.6z = 0 (-9 * -3.6 + -4z * -3.6) + 0.6z = 0 (32.4 + 14.4z) + 0.6z = 0 Combine like terms: 14.4z + 0.6z = 15z 32.4 + 15z = 0 Solving 32.4 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32.4' to each side of the equation. 32.4 + -32.4 + 15z = 0 + -32.4 Combine like terms: 32.4 + -32.4 = 0.0 0.0 + 15z = 0 + -32.4 15z = 0 + -32.4 Combine like terms: 0 + -32.4 = -32.4 15z = -32.4 Divide each side by '15'. z = -2.16 Simplifying z = -2.16
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