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Simplifying 46.5 = 5c + -2 Reorder the terms: 46.5 = -2 + 5c Solving 46.5 = -2 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 46.5 + -5c = -2 + 5c + -5c Combine like terms: 5c + -5c = 0 46.5 + -5c = -2 + 0 46.5 + -5c = -2 Add '-46.5' to each side of the equation. 46.5 + -46.5 + -5c = -2 + -46.5 Combine like terms: 46.5 + -46.5 = 0.0 0.0 + -5c = -2 + -46.5 -5c = -2 + -46.5 Combine like terms: -2 + -46.5 = -48.5 -5c = -48.5 Divide each side by '-5'. c = 9.7 Simplifying c = 9.7
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