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Simplifying 10c + -46 = 4c + 80 Reorder the terms: -46 + 10c = 4c + 80 Reorder the terms: -46 + 10c = 80 + 4c Solving -46 + 10c = 80 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -46 + 10c + -4c = 80 + 4c + -4c Combine like terms: 10c + -4c = 6c -46 + 6c = 80 + 4c + -4c Combine like terms: 4c + -4c = 0 -46 + 6c = 80 + 0 -46 + 6c = 80 Add '46' to each side of the equation. -46 + 46 + 6c = 80 + 46 Combine like terms: -46 + 46 = 0 0 + 6c = 80 + 46 6c = 80 + 46 Combine like terms: 80 + 46 = 126 6c = 126 Divide each side by '6'. c = 21 Simplifying c = 21
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