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Simplifying 9.6 = 2c + -4(3.6 + c) 9.6 = 2c + (3.6 * -4 + c * -4) 9.6 = 2c + (-14.4 + -4c) Reorder the terms: 9.6 = -14.4 + 2c + -4c Combine like terms: 2c + -4c = -2c 9.6 = -14.4 + -2c Solving 9.6 = -14.4 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 9.6 + 2c = -14.4 + -2c + 2c Combine like terms: -2c + 2c = 0 9.6 + 2c = -14.4 + 0 9.6 + 2c = -14.4 Add '-9.6' to each side of the equation. 9.6 + -9.6 + 2c = -14.4 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 2c = -14.4 + -9.6 2c = -14.4 + -9.6 Combine like terms: -14.4 + -9.6 = -24 2c = -24 Divide each side by '2'. c = -12 Simplifying c = -12
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