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Simplifying 6.2 + 2.5 = 4.8z + -3.8z + 4.5 Combine like terms: 6.2 + 2.5 = 8.7 8.7 = 4.8z + -3.8z + 4.5 Reorder the terms: 8.7 = 4.5 + 4.8z + -3.8z Combine like terms: 4.8z + -3.8z = 1z 8.7 = 4.5 + 1z Solving 8.7 = 4.5 + 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. 8.7 + -1z = 4.5 + 1z + -1z Combine like terms: 1z + -1z = 0 8.7 + -1z = 4.5 + 0 8.7 + -1z = 4.5 Add '-8.7' to each side of the equation. 8.7 + -8.7 + -1z = 4.5 + -8.7 Combine like terms: 8.7 + -8.7 = 0.0 0.0 + -1z = 4.5 + -8.7 -1z = 4.5 + -8.7 Combine like terms: 4.5 + -8.7 = -4.2 -1z = -4.2 Divide each side by '-1'. z = 4.2 Simplifying z = 4.2
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