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Simplifying 3 + 0.5c = 0.75c + -5 Reorder the terms: 3 + 0.5c = -5 + 0.75c Solving 3 + 0.5c = -5 + 0.75c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.75c' to each side of the equation. 3 + 0.5c + -0.75c = -5 + 0.75c + -0.75c Combine like terms: 0.5c + -0.75c = -0.25c 3 + -0.25c = -5 + 0.75c + -0.75c Combine like terms: 0.75c + -0.75c = 0.00 3 + -0.25c = -5 + 0.00 3 + -0.25c = -5 Add '-3' to each side of the equation. 3 + -3 + -0.25c = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.25c = -5 + -3 -0.25c = -5 + -3 Combine like terms: -5 + -3 = -8 -0.25c = -8 Divide each side by '-0.25'. c = 32 Simplifying c = 32
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