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Simplifying 14 = -2(4c + 5) Reorder the terms: 14 = -2(5 + 4c) 14 = (5 * -2 + 4c * -2) 14 = (-10 + -8c) Solving 14 = -10 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. 14 + 8c = -10 + -8c + 8c Combine like terms: -8c + 8c = 0 14 + 8c = -10 + 0 14 + 8c = -10 Add '-14' to each side of the equation. 14 + -14 + 8c = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 8c = -10 + -14 8c = -10 + -14 Combine like terms: -10 + -14 = -24 8c = -24 Divide each side by '8'. c = -3 Simplifying c = -3
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