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Simplifying -2c + 12 = 7c + -15 Reorder the terms: 12 + -2c = 7c + -15 Reorder the terms: 12 + -2c = -15 + 7c Solving 12 + -2c = -15 + 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. 12 + -2c + -7c = -15 + 7c + -7c Combine like terms: -2c + -7c = -9c 12 + -9c = -15 + 7c + -7c Combine like terms: 7c + -7c = 0 12 + -9c = -15 + 0 12 + -9c = -15 Add '-12' to each side of the equation. 12 + -12 + -9c = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -9c = -15 + -12 -9c = -15 + -12 Combine like terms: -15 + -12 = -27 -9c = -27 Divide each side by '-9'. c = 3 Simplifying c = 3
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