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Simplifying 2 + 3c = 2(-2c + 6) Reorder the terms: 2 + 3c = 2(6 + -2c) 2 + 3c = (6 * 2 + -2c * 2) 2 + 3c = (12 + -4c) Solving 2 + 3c = 12 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 2 + 3c + 4c = 12 + -4c + 4c Combine like terms: 3c + 4c = 7c 2 + 7c = 12 + -4c + 4c Combine like terms: -4c + 4c = 0 2 + 7c = 12 + 0 2 + 7c = 12 Add '-2' to each side of the equation. 2 + -2 + 7c = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 7c = 12 + -2 7c = 12 + -2 Combine like terms: 12 + -2 = 10 7c = 10 Divide each side by '7'. c = 1.428571429 Simplifying c = 1.428571429
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