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Simplifying 2(c + -6) = 9c + 12 Reorder the terms: 2(-6 + c) = 9c + 12 (-6 * 2 + c * 2) = 9c + 12 (-12 + 2c) = 9c + 12 Reorder the terms: -12 + 2c = 12 + 9c Solving -12 + 2c = 12 + 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. -12 + 2c + -9c = 12 + 9c + -9c Combine like terms: 2c + -9c = -7c -12 + -7c = 12 + 9c + -9c Combine like terms: 9c + -9c = 0 -12 + -7c = 12 + 0 -12 + -7c = 12 Add '12' to each side of the equation. -12 + 12 + -7c = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -7c = 12 + 12 -7c = 12 + 12 Combine like terms: 12 + 12 = 24 -7c = 24 Divide each side by '-7'. c = -3.428571429 Simplifying c = -3.428571429
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