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Simplifying 7 = 3c + -3(6 + -2c) 7 = 3c + (6 * -3 + -2c * -3) 7 = 3c + (-18 + 6c) Reorder the terms: 7 = -18 + 3c + 6c Combine like terms: 3c + 6c = 9c 7 = -18 + 9c Solving 7 = -18 + 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. 7 + -9c = -18 + 9c + -9c Combine like terms: 9c + -9c = 0 7 + -9c = -18 + 0 7 + -9c = -18 Add '-7' to each side of the equation. 7 + -7 + -9c = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -9c = -18 + -7 -9c = -18 + -7 Combine like terms: -18 + -7 = -25 -9c = -25 Divide each side by '-9'. c = 2.777777778 Simplifying c = 2.777777778
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