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Simplifying 14 + -1(2c + 5) = 2c + 9 Reorder the terms: 14 + -1(5 + 2c) = 2c + 9 14 + (5 * -1 + 2c * -1) = 2c + 9 14 + (-5 + -2c) = 2c + 9 Combine like terms: 14 + -5 = 9 9 + -2c = 2c + 9 Reorder the terms: 9 + -2c = 9 + 2c Add '-9' to each side of the equation. 9 + -9 + -2c = 9 + -9 + 2c Combine like terms: 9 + -9 = 0 0 + -2c = 9 + -9 + 2c -2c = 9 + -9 + 2c Combine like terms: 9 + -9 = 0 -2c = 0 + 2c -2c = 2c Solving -2c = 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -2c + -2c = 2c + -2c Combine like terms: -2c + -2c = -4c -4c = 2c + -2c Combine like terms: 2c + -2c = 0 -4c = 0 Divide each side by '-4'. c = 0 Simplifying c = 0
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