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Simplifying 46.5 = 7c + -6 Reorder the terms: 46.5 = -6 + 7c Solving 46.5 = -6 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 46.5 + -7c = -6 + 7c + -7c Combine like terms: 7c + -7c = 0 46.5 + -7c = -6 + 0 46.5 + -7c = -6 Add '-46.5' to each side of the equation. 46.5 + -46.5 + -7c = -6 + -46.5 Combine like terms: 46.5 + -46.5 = 0.0 0.0 + -7c = -6 + -46.5 -7c = -6 + -46.5 Combine like terms: -6 + -46.5 = -52.5 -7c = -52.5 Divide each side by '-7'. c = 7.5 Simplifying c = 7.5
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