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Simplifying 7c + 12v + -20 = 9c + 12v + -15 Reorder the terms: -20 + 7c + 12v = 9c + 12v + -15 Reorder the terms: -20 + 7c + 12v = -15 + 9c + 12v Add '-12v' to each side of the equation. -20 + 7c + 12v + -12v = -15 + 9c + 12v + -12v Combine like terms: 12v + -12v = 0 -20 + 7c + 0 = -15 + 9c + 12v + -12v -20 + 7c = -15 + 9c + 12v + -12v Combine like terms: 12v + -12v = 0 -20 + 7c = -15 + 9c + 0 -20 + 7c = -15 + 9c Solving -20 + 7c = -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. -20 + 7c + -9c = -15 + 9c + -9c Combine like terms: 7c + -9c = -2c -20 + -2c = -15 + 9c + -9c Combine like terms: 9c + -9c = 0 -20 + -2c = -15 + 0 -20 + -2c = -15 Add '20' to each side of the equation. -20 + 20 + -2c = -15 + 20 Combine like terms: -20 + 20 = 0 0 + -2c = -15 + 20 -2c = -15 + 20 Combine like terms: -15 + 20 = 5 -2c = 5 Divide each side by '-2'. c = -2.5 Simplifying c = -2.5
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