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Simplifying 5c + -2(c + -7) = 2 + 4c Reorder the terms: 5c + -2(-7 + c) = 2 + 4c 5c + (-7 * -2 + c * -2) = 2 + 4c 5c + (14 + -2c) = 2 + 4c Reorder the terms: 14 + 5c + -2c = 2 + 4c Combine like terms: 5c + -2c = 3c 14 + 3c = 2 + 4c Solving 14 + 3c = 2 + 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. 14 + 3c + -4c = 2 + 4c + -4c Combine like terms: 3c + -4c = -1c 14 + -1c = 2 + 4c + -4c Combine like terms: 4c + -4c = 0 14 + -1c = 2 + 0 14 + -1c = 2 Add '-14' to each side of the equation. 14 + -14 + -1c = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -1c = 2 + -14 -1c = 2 + -14 Combine like terms: 2 + -14 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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