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Simplifying -2c + 12 = 2c + -6 + 6c + -12 Reorder the terms: 12 + -2c = 2c + -6 + 6c + -12 Reorder the terms: 12 + -2c = -6 + -12 + 2c + 6c Combine like terms: -6 + -12 = -18 12 + -2c = -18 + 2c + 6c Combine like terms: 2c + 6c = 8c 12 + -2c = -18 + 8c Solving 12 + -2c = -18 + 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. 12 + -2c + -8c = -18 + 8c + -8c Combine like terms: -2c + -8c = -10c 12 + -10c = -18 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + -10c = -18 + 0 12 + -10c = -18 Add '-12' to each side of the equation. 12 + -12 + -10c = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -10c = -18 + -12 -10c = -18 + -12 Combine like terms: -18 + -12 = -30 -10c = -30 Divide each side by '-10'. c = 3 Simplifying c = 3
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