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Simplifying 12c + 6 = 9c + -15 Reorder the terms: 6 + 12c = 9c + -15 Reorder the terms: 6 + 12c = -15 + 9c Solving 6 + 12c = -15 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 6 + 12c + -9c = -15 + 9c + -9c Combine like terms: 12c + -9c = 3c 6 + 3c = -15 + 9c + -9c Combine like terms: 9c + -9c = 0 6 + 3c = -15 + 0 6 + 3c = -15 Add '-6' to each side of the equation. 6 + -6 + 3c = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 3c = -15 + -6 3c = -15 + -6 Combine like terms: -15 + -6 = -21 3c = -21 Divide each side by '3'. c = -7 Simplifying c = -7
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