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Simplifying 15 + -3c + -12 = -5 + c Reorder the terms: 15 + -12 + -3c = -5 + c Combine like terms: 15 + -12 = 3 3 + -3c = -5 + c Solving 3 + -3c = -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. 3 + -3c + -1c = -5 + c + -1c Combine like terms: -3c + -1c = -4c 3 + -4c = -5 + c + -1c Combine like terms: c + -1c = 0 3 + -4c = -5 + 0 3 + -4c = -5 Add '-3' to each side of the equation. 3 + -3 + -4c = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4c = -5 + -3 -4c = -5 + -3 Combine like terms: -5 + -3 = -8 -4c = -8 Divide each side by '-4'. c = 2 Simplifying c = 2
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