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