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Simplifying 12(7c + -1) + -4 = 82c + 12 Reorder the terms: 12(-1 + 7c) + -4 = 82c + 12 (-1 * 12 + 7c * 12) + -4 = 82c + 12 (-12 + 84c) + -4 = 82c + 12 Reorder the terms: -12 + -4 + 84c = 82c + 12 Combine like terms: -12 + -4 = -16 -16 + 84c = 82c + 12 Reorder the terms: -16 + 84c = 12 + 82c Solving -16 + 84c = 12 + 82c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-82c' to each side of the equation. -16 + 84c + -82c = 12 + 82c + -82c Combine like terms: 84c + -82c = 2c -16 + 2c = 12 + 82c + -82c Combine like terms: 82c + -82c = 0 -16 + 2c = 12 + 0 -16 + 2c = 12 Add '16' to each side of the equation. -16 + 16 + 2c = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 2c = 12 + 16 2c = 12 + 16 Combine like terms: 12 + 16 = 28 2c = 28 Divide each side by '2'. c = 14 Simplifying c = 14
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