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Simplifying 3c + -12 + 2c = 8c + -18 Reorder the terms: -12 + 3c + 2c = 8c + -18 Combine like terms: 3c + 2c = 5c -12 + 5c = 8c + -18 Reorder the terms: -12 + 5c = -18 + 8c Solving -12 + 5c = -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 + 5c + -8c = -18 + 8c + -8c Combine like terms: 5c + -8c = -3c -12 + -3c = -18 + 8c + -8c Combine like terms: 8c + -8c = 0 -12 + -3c = -18 + 0 -12 + -3c = -18 Add '12' to each side of the equation. -12 + 12 + -3c = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -3c = -18 + 12 -3c = -18 + 12 Combine like terms: -18 + 12 = -6 -3c = -6 Divide each side by '-3'. c = 2 Simplifying c = 2
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