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Simplifying 7(1 + -3c) = 7 + -1(7c + 2) (1 * 7 + -3c * 7) = 7 + -1(7c + 2) (7 + -21c) = 7 + -1(7c + 2) Reorder the terms: 7 + -21c = 7 + -1(2 + 7c) 7 + -21c = 7 + (2 * -1 + 7c * -1) 7 + -21c = 7 + (-2 + -7c) Combine like terms: 7 + -2 = 5 7 + -21c = 5 + -7c Solving 7 + -21c = 5 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 7 + -21c + 7c = 5 + -7c + 7c Combine like terms: -21c + 7c = -14c 7 + -14c = 5 + -7c + 7c Combine like terms: -7c + 7c = 0 7 + -14c = 5 + 0 7 + -14c = 5 Add '-7' to each side of the equation. 7 + -7 + -14c = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -14c = 5 + -7 -14c = 5 + -7 Combine like terms: 5 + -7 = -2 -14c = -2 Divide each side by '-14'. c = 0.1428571429 Simplifying c = 0.1428571429
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