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Simplifying 6.4 = 1.2(4 + 2z) 6.4 = (4 * 1.2 + 2z * 1.2) 6.4 = (4.8 + 2.4z) Solving 6.4 = 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. 6.4 + -2.4z = 4.8 + 2.4z + -2.4z Combine like terms: 2.4z + -2.4z = 0.0 6.4 + -2.4z = 4.8 + 0.0 6.4 + -2.4z = 4.8 Add '-6.4' to each side of the equation. 6.4 + -6.4 + -2.4z = 4.8 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -2.4z = 4.8 + -6.4 -2.4z = 4.8 + -6.4 Combine like terms: 4.8 + -6.4 = -1.6 -2.4z = -1.6 Divide each side by '-2.4'. z = 0.6666666667 Simplifying z = 0.6666666667
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