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Simplifying -0.5(z + -2.4) = 6 Reorder the terms: -0.5(-2.4 + z) = 6 (-2.4 * -0.5 + z * -0.5) = 6 (1.2 + -0.5z) = 6 Solving 1.2 + -0.5z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.5z = 6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.5z = 6 + -1.2 -0.5z = 6 + -1.2 Combine like terms: 6 + -1.2 = 4.8 -0.5z = 4.8 Divide each side by '-0.5'. z = -9.6 Simplifying z = -9.6
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