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Simplifying 7.4 + 6.8z = z + 79.9 Reorder the terms: 7.4 + 6.8z = 79.9 + z Solving 7.4 + 6.8z = 79.9 + z 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. 7.4 + 6.8z + -1z = 79.9 + z + -1z Combine like terms: 6.8z + -1z = 5.8z 7.4 + 5.8z = 79.9 + z + -1z Combine like terms: z + -1z = 0 7.4 + 5.8z = 79.9 + 0 7.4 + 5.8z = 79.9 Add '-7.4' to each side of the equation. 7.4 + -7.4 + 5.8z = 79.9 + -7.4 Combine like terms: 7.4 + -7.4 = 0.0 0.0 + 5.8z = 79.9 + -7.4 5.8z = 79.9 + -7.4 Combine like terms: 79.9 + -7.4 = 72.5 5.8z = 72.5 Divide each side by '5.8'. z = 12.5 Simplifying z = 12.5
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