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Simplifying 3 + -1c + -12 = -5 + c Reorder the terms: 3 + -12 + -1c = -5 + c Combine like terms: 3 + -12 = -9 -9 + -1c = -5 + c Solving -9 + -1c = -5 + 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. -9 + -1c + -1c = -5 + c + -1c Combine like terms: -1c + -1c = -2c -9 + -2c = -5 + c + -1c Combine like terms: c + -1c = 0 -9 + -2c = -5 + 0 -9 + -2c = -5 Add '9' to each side of the equation. -9 + 9 + -2c = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -2c = -5 + 9 -2c = -5 + 9 Combine like terms: -5 + 9 = 4 -2c = 4 Divide each side by '-2'. c = -2 Simplifying c = -2
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