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Simplifying 3(c + -8) = c + 76 Reorder the terms: 3(-8 + c) = c + 76 (-8 * 3 + c * 3) = c + 76 (-24 + 3c) = c + 76 Reorder the terms: -24 + 3c = 76 + c Solving -24 + 3c = 76 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -24 + 3c + -1c = 76 + c + -1c Combine like terms: 3c + -1c = 2c -24 + 2c = 76 + c + -1c Combine like terms: c + -1c = 0 -24 + 2c = 76 + 0 -24 + 2c = 76 Add '24' to each side of the equation. -24 + 24 + 2c = 76 + 24 Combine like terms: -24 + 24 = 0 0 + 2c = 76 + 24 2c = 76 + 24 Combine like terms: 76 + 24 = 100 2c = 100 Divide each side by '2'. c = 50 Simplifying c = 50
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