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Simplifying 2(c + 3) + 8 = 6c + -12 Reorder the terms: 2(3 + c) + 8 = 6c + -12 (3 * 2 + c * 2) + 8 = 6c + -12 (6 + 2c) + 8 = 6c + -12 Reorder the terms: 6 + 8 + 2c = 6c + -12 Combine like terms: 6 + 8 = 14 14 + 2c = 6c + -12 Reorder the terms: 14 + 2c = -12 + 6c Solving 14 + 2c = -12 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 14 + 2c + -6c = -12 + 6c + -6c Combine like terms: 2c + -6c = -4c 14 + -4c = -12 + 6c + -6c Combine like terms: 6c + -6c = 0 14 + -4c = -12 + 0 14 + -4c = -12 Add '-14' to each side of the equation. 14 + -14 + -4c = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -4c = -12 + -14 -4c = -12 + -14 Combine like terms: -12 + -14 = -26 -4c = -26 Divide each side by '-4'. c = 6.5 Simplifying c = 6.5
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