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Simplifying 7c + 3 = 12c + 13 Reorder the terms: 3 + 7c = 12c + 13 Reorder the terms: 3 + 7c = 13 + 12c Solving 3 + 7c = 13 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 3 + 7c + -12c = 13 + 12c + -12c Combine like terms: 7c + -12c = -5c 3 + -5c = 13 + 12c + -12c Combine like terms: 12c + -12c = 0 3 + -5c = 13 + 0 3 + -5c = 13 Add '-3' to each side of the equation. 3 + -3 + -5c = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 13 + -3 -5c = 13 + -3 Combine like terms: 13 + -3 = 10 -5c = 10 Divide each side by '-5'. c = -2 Simplifying c = -2
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