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Simplifying 3(c + -2) + 8 = 2 + c + 0 Reorder the terms: 3(-2 + c) + 8 = 2 + c + 0 (-2 * 3 + c * 3) + 8 = 2 + c + 0 (-6 + 3c) + 8 = 2 + c + 0 Reorder the terms: -6 + 8 + 3c = 2 + c + 0 Combine like terms: -6 + 8 = 2 2 + 3c = 2 + c + 0 Reorder the terms: 2 + 3c = 2 + 0 + c Combine like terms: 2 + 0 = 2 2 + 3c = 2 + c Add '-2' to each side of the equation. 2 + -2 + 3c = 2 + -2 + c Combine like terms: 2 + -2 = 0 0 + 3c = 2 + -2 + c 3c = 2 + -2 + c Combine like terms: 2 + -2 = 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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