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Simplifying 19 = 3 + -1(c + 8) Reorder the terms: 19 = 3 + -1(8 + c) 19 = 3 + (8 * -1 + c * -1) 19 = 3 + (-8 + -1c) Combine like terms: 3 + -8 = -5 19 = -5 + -1c Solving 19 = -5 + -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 = -5 + -1c + c Combine like terms: -1c + c = 0 19 + c = -5 + 0 19 + c = -5 Add '-19' to each side of the equation. 19 + -19 + c = -5 + -19 Combine like terms: 19 + -19 = 0 0 + c = -5 + -19 c = -5 + -19 Combine like terms: -5 + -19 = -24 c = -24 Simplifying c = -24
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