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Simplifying 4c + -2(c + -7) = 3 + 3c Reorder the terms: 4c + -2(-7 + c) = 3 + 3c 4c + (-7 * -2 + c * -2) = 3 + 3c 4c + (14 + -2c) = 3 + 3c Reorder the terms: 14 + 4c + -2c = 3 + 3c Combine like terms: 4c + -2c = 2c 14 + 2c = 3 + 3c Solving 14 + 2c = 3 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 14 + 2c + -3c = 3 + 3c + -3c Combine like terms: 2c + -3c = -1c 14 + -1c = 3 + 3c + -3c Combine like terms: 3c + -3c = 0 14 + -1c = 3 + 0 14 + -1c = 3 Add '-14' to each side of the equation. 14 + -14 + -1c = 3 + -14 Combine like terms: 14 + -14 = 0 0 + -1c = 3 + -14 -1c = 3 + -14 Combine like terms: 3 + -14 = -11 -1c = -11 Divide each side by '-1'. c = 11 Simplifying c = 11
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