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Simplifying 49.2 = 1z + (2.8 + 7.9) Combine like terms: 2.8 + 7.9 = 10.7 49.2 = 1z + (10.7) 49.2 = 1z + 10.7 Reorder the terms: 49.2 = 10.7 + 1z Solving 49.2 = 10.7 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 49.2 + -1z = 10.7 + 1z + -1z Combine like terms: 1z + -1z = 0 49.2 + -1z = 10.7 + 0 49.2 + -1z = 10.7 Add '-49.2' to each side of the equation. 49.2 + -49.2 + -1z = 10.7 + -49.2 Combine like terms: 49.2 + -49.2 = 0.0 0.0 + -1z = 10.7 + -49.2 -1z = 10.7 + -49.2 Combine like terms: 10.7 + -49.2 = -38.5 -1z = -38.5 Divide each side by '-1'. z = 38.5 Simplifying z = 38.5
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