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Simplifying 4(c + 2) + -2(c + -3) = 14c Reorder the terms: 4(2 + c) + -2(c + -3) = 14c (2 * 4 + c * 4) + -2(c + -3) = 14c (8 + 4c) + -2(c + -3) = 14c Reorder the terms: 8 + 4c + -2(-3 + c) = 14c 8 + 4c + (-3 * -2 + c * -2) = 14c 8 + 4c + (6 + -2c) = 14c Reorder the terms: 8 + 6 + 4c + -2c = 14c Combine like terms: 8 + 6 = 14 14 + 4c + -2c = 14c Combine like terms: 4c + -2c = 2c 14 + 2c = 14c Solving 14 + 2c = 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. 14 + 2c + -14c = 14c + -14c Combine like terms: 2c + -14c = -12c 14 + -12c = 14c + -14c Combine like terms: 14c + -14c = 0 14 + -12c = 0 Add '-14' to each side of the equation. 14 + -14 + -12c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -12c = 0 + -14 -12c = 0 + -14 Combine like terms: 0 + -14 = -14 -12c = -14 Divide each side by '-12'. c = 1.166666667 Simplifying c = 1.166666667
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