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Simplifying -4c + 15 + -1c = 3 + -7c + -12 Reorder the terms: 15 + -4c + -1c = 3 + -7c + -12 Combine like terms: -4c + -1c = -5c 15 + -5c = 3 + -7c + -12 Reorder the terms: 15 + -5c = 3 + -12 + -7c Combine like terms: 3 + -12 = -9 15 + -5c = -9 + -7c Solving 15 + -5c = -9 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 15 + -5c + 7c = -9 + -7c + 7c Combine like terms: -5c + 7c = 2c 15 + 2c = -9 + -7c + 7c Combine like terms: -7c + 7c = 0 15 + 2c = -9 + 0 15 + 2c = -9 Add '-15' to each side of the equation. 15 + -15 + 2c = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 2c = -9 + -15 2c = -9 + -15 Combine like terms: -9 + -15 = -24 2c = -24 Divide each side by '2'. c = -12 Simplifying c = -12
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