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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 = -1c 2 + -1c = 12 + 4c + -4c Combine like terms: 4c + -4c = 0 2 + -1c = 12 + 0 2 + -1c = 12 Add '-2' to each side of the equation. 2 + -2 + -1c = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 12 + -2 -1c = 12 + -2 Combine like terms: 12 + -2 = 10 -1c = 10 Divide each side by '-1'. c = -10 Simplifying c = -10
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