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Simplifying c + 4 = 7 + -5c + 12c Reorder the terms: 4 + c = 7 + -5c + 12c Combine like terms: -5c + 12c = 7c 4 + c = 7 + 7c Solving 4 + c = 7 + 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. 4 + c + -7c = 7 + 7c + -7c Combine like terms: c + -7c = -6c 4 + -6c = 7 + 7c + -7c Combine like terms: 7c + -7c = 0 4 + -6c = 7 + 0 4 + -6c = 7 Add '-4' to each side of the equation. 4 + -4 + -6c = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -6c = 7 + -4 -6c = 7 + -4 Combine like terms: 7 + -4 = 3 -6c = 3 Divide each side by '-6'. c = -0.5 Simplifying c = -0.5
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