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Simplifying 3(c + -3) = 8 + 7 + c + -8 Reorder the terms: 3(-3 + c) = 8 + 7 + c + -8 (-3 * 3 + c * 3) = 8 + 7 + c + -8 (-9 + 3c) = 8 + 7 + c + -8 Reorder the terms: -9 + 3c = 8 + 7 + -8 + c Combine like terms: 8 + 7 = 15 -9 + 3c = 15 + -8 + c Combine like terms: 15 + -8 = 7 -9 + 3c = 7 + c Solving -9 + 3c = 7 + 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. -9 + 3c + -1c = 7 + c + -1c Combine like terms: 3c + -1c = 2c -9 + 2c = 7 + c + -1c Combine like terms: c + -1c = 0 -9 + 2c = 7 + 0 -9 + 2c = 7 Add '9' to each side of the equation. -9 + 9 + 2c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 7 + 9 2c = 7 + 9 Combine like terms: 7 + 9 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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