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Simplifying 2.3333z + 3.666 = 1.3333(z + 3.666) Reorder the terms: 3.666 + 2.3333z = 1.3333(z + 3.666) Reorder the terms: 3.666 + 2.3333z = 1.3333(3.666 + z) 3.666 + 2.3333z = (3.666 * 1.3333 + z * 1.3333) 3.666 + 2.3333z = (4.8878778 + 1.3333z) Solving 3.666 + 2.3333z = 4.8878778 + 1.3333z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.3333z' to each side of the equation. 3.666 + 2.3333z + -1.3333z = 4.8878778 + 1.3333z + -1.3333z Combine like terms: 2.3333z + -1.3333z = 1z 3.666 + 1z = 4.8878778 + 1.3333z + -1.3333z Combine like terms: 1.3333z + -1.3333z = 0.0000 3.666 + 1z = 4.8878778 + 0.0000 3.666 + 1z = 4.8878778 Add '-3.666' to each side of the equation. 3.666 + -3.666 + 1z = 4.8878778 + -3.666 Combine like terms: 3.666 + -3.666 = 0.000 0.000 + 1z = 4.8878778 + -3.666 1z = 4.8878778 + -3.666 Combine like terms: 4.8878778 + -3.666 = 1.2218778 1z = 1.2218778 Divide each side by '1'. z = 1.2218778 Simplifying z = 1.2218778
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