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Simplifying 4z + -1.2(2 + -5z) = 1 + -5z 4z + (2 * -1.2 + -5z * -1.2) = 1 + -5z 4z + (-2.4 + 6z) = 1 + -5z Reorder the terms: -2.4 + 4z + 6z = 1 + -5z Combine like terms: 4z + 6z = 10z -2.4 + 10z = 1 + -5z Solving -2.4 + 10z = 1 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -2.4 + 10z + 5z = 1 + -5z + 5z Combine like terms: 10z + 5z = 15z -2.4 + 15z = 1 + -5z + 5z Combine like terms: -5z + 5z = 0 -2.4 + 15z = 1 + 0 -2.4 + 15z = 1 Add '2.4' to each side of the equation. -2.4 + 2.4 + 15z = 1 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 15z = 1 + 2.4 15z = 1 + 2.4 Combine like terms: 1 + 2.4 = 3.4 15z = 3.4 Divide each side by '15'. z = 0.2266666667 Simplifying z = 0.2266666667
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