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Simplifying 4c + 12 + -2c = 5c + -3 Reorder the terms: 12 + 4c + -2c = 5c + -3 Combine like terms: 4c + -2c = 2c 12 + 2c = 5c + -3 Reorder the terms: 12 + 2c = -3 + 5c Solving 12 + 2c = -3 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 12 + 2c + -5c = -3 + 5c + -5c Combine like terms: 2c + -5c = -3c 12 + -3c = -3 + 5c + -5c Combine like terms: 5c + -5c = 0 12 + -3c = -3 + 0 12 + -3c = -3 Add '-12' to each side of the equation. 12 + -12 + -3c = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3c = -3 + -12 -3c = -3 + -12 Combine like terms: -3 + -12 = -15 -3c = -15 Divide each side by '-3'. c = 5 Simplifying c = 5
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