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Simplifying 4.2 = -4(0.6z + -1.2) Reorder the terms: 4.2 = -4(-1.2 + 0.6z) 4.2 = (-1.2 * -4 + 0.6z * -4) 4.2 = (4.8 + -2.4z) Solving 4.2 = 4.8 + -2.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2.4z' to each side of the equation. 4.2 + 2.4z = 4.8 + -2.4z + 2.4z Combine like terms: -2.4z + 2.4z = 0.0 4.2 + 2.4z = 4.8 + 0.0 4.2 + 2.4z = 4.8 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 2.4z = 4.8 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 2.4z = 4.8 + -4.2 2.4z = 4.8 + -4.2 Combine like terms: 4.8 + -4.2 = 0.6 2.4z = 0.6 Divide each side by '2.4'. z = 0.25 Simplifying z = 0.25
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