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Simplifying 2.5 + 9.7 = 4.8z + -3.8z + -7.4 Combine like terms: 2.5 + 9.7 = 12.2 12.2 = 4.8z + -3.8z + -7.4 Reorder the terms: 12.2 = -7.4 + 4.8z + -3.8z Combine like terms: 4.8z + -3.8z = 1z 12.2 = -7.4 + 1z Solving 12.2 = -7.4 + 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. 12.2 + -1z = -7.4 + 1z + -1z Combine like terms: 1z + -1z = 0 12.2 + -1z = -7.4 + 0 12.2 + -1z = -7.4 Add '-12.2' to each side of the equation. 12.2 + -12.2 + -1z = -7.4 + -12.2 Combine like terms: 12.2 + -12.2 = 0.0 0.0 + -1z = -7.4 + -12.2 -1z = -7.4 + -12.2 Combine like terms: -7.4 + -12.2 = -19.6 -1z = -19.6 Divide each side by '-1'. z = 19.6 Simplifying z = 19.6
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