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Simplifying 19 = 14 + -1(c + 5) Reorder the terms: 19 = 14 + -1(5 + c) 19 = 14 + (5 * -1 + c * -1) 19 = 14 + (-5 + -1c) Combine like terms: 14 + -5 = 9 19 = 9 + -1c Solving 19 = 9 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 19 + c = 9 + -1c + c Combine like terms: -1c + c = 0 19 + c = 9 + 0 19 + c = 9 Add '-19' to each side of the equation. 19 + -19 + c = 9 + -19 Combine like terms: 19 + -19 = 0 0 + c = 9 + -19 c = 9 + -19 Combine like terms: 9 + -19 = -10 c = -10 Simplifying c = -10
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