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Simplifying 4c + -2(c + 9) + 10 = -14 Reorder the terms: 4c + -2(9 + c) + 10 = -14 4c + (9 * -2 + c * -2) + 10 = -14 4c + (-18 + -2c) + 10 = -14 Reorder the terms: -18 + 10 + 4c + -2c = -14 Combine like terms: -18 + 10 = -8 -8 + 4c + -2c = -14 Combine like terms: 4c + -2c = 2c -8 + 2c = -14 Solving -8 + 2c = -14 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2c = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = -14 + 8 2c = -14 + 8 Combine like terms: -14 + 8 = -6 2c = -6 Divide each side by '2'. c = -3 Simplifying c = -3
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