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