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Simplifying 24 + -7c = 8(5c + -3) Reorder the terms: 24 + -7c = 8(-3 + 5c) 24 + -7c = (-3 * 8 + 5c * 8) 24 + -7c = (-24 + 40c) Solving 24 + -7c = -24 + 40c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40c' to each side of the equation. 24 + -7c + -40c = -24 + 40c + -40c Combine like terms: -7c + -40c = -47c 24 + -47c = -24 + 40c + -40c Combine like terms: 40c + -40c = 0 24 + -47c = -24 + 0 24 + -47c = -24 Add '-24' to each side of the equation. 24 + -24 + -47c = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -47c = -24 + -24 -47c = -24 + -24 Combine like terms: -24 + -24 = -48 -47c = -48 Divide each side by '-47'. c = 1.021276596 Simplifying c = 1.021276596
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