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Simplifying 47.8 = -76 + z Solving 47.8 = -76 + 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. 47.8 + -1z = -76 + z + -1z Combine like terms: z + -1z = 0 47.8 + -1z = -76 + 0 47.8 + -1z = -76 Add '-47.8' to each side of the equation. 47.8 + -47.8 + -1z = -76 + -47.8 Combine like terms: 47.8 + -47.8 = 0.0 0.0 + -1z = -76 + -47.8 -1z = -76 + -47.8 Combine like terms: -76 + -47.8 = -123.8 -1z = -123.8 Divide each side by '-1'. z = 123.8 Simplifying z = 123.8
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