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Simplifying 6c + -46 = 8c + -72 Reorder the terms: -46 + 6c = 8c + -72 Reorder the terms: -46 + 6c = -72 + 8c Solving -46 + 6c = -72 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -46 + 6c + -8c = -72 + 8c + -8c Combine like terms: 6c + -8c = -2c -46 + -2c = -72 + 8c + -8c Combine like terms: 8c + -8c = 0 -46 + -2c = -72 + 0 -46 + -2c = -72 Add '46' to each side of the equation. -46 + 46 + -2c = -72 + 46 Combine like terms: -46 + 46 = 0 0 + -2c = -72 + 46 -2c = -72 + 46 Combine like terms: -72 + 46 = -26 -2c = -26 Divide each side by '-2'. c = 13 Simplifying c = 13
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