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Simplifying 23 + 4c = -3(7c + 8) Reorder the terms: 23 + 4c = -3(8 + 7c) 23 + 4c = (8 * -3 + 7c * -3) 23 + 4c = (-24 + -21c) Solving 23 + 4c = -24 + -21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '21c' to each side of the equation. 23 + 4c + 21c = -24 + -21c + 21c Combine like terms: 4c + 21c = 25c 23 + 25c = -24 + -21c + 21c Combine like terms: -21c + 21c = 0 23 + 25c = -24 + 0 23 + 25c = -24 Add '-23' to each side of the equation. 23 + -23 + 25c = -24 + -23 Combine like terms: 23 + -23 = 0 0 + 25c = -24 + -23 25c = -24 + -23 Combine like terms: -24 + -23 = -47 25c = -47 Divide each side by '25'. c = -1.88 Simplifying c = -1.88
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