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Simplifying 46 + 7c = 11c + -10 Reorder the terms: 46 + 7c = -10 + 11c Solving 46 + 7c = -10 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. 46 + 7c + -11c = -10 + 11c + -11c Combine like terms: 7c + -11c = -4c 46 + -4c = -10 + 11c + -11c Combine like terms: 11c + -11c = 0 46 + -4c = -10 + 0 46 + -4c = -10 Add '-46' to each side of the equation. 46 + -46 + -4c = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -4c = -10 + -46 -4c = -10 + -46 Combine like terms: -10 + -46 = -56 -4c = -56 Divide each side by '-4'. c = 14 Simplifying c = 14
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