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Simplifying 24 = 6(7 + -1c) 24 = (7 * 6 + -1c * 6) 24 = (42 + -6c) Solving 24 = 42 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 24 + 6c = 42 + -6c + 6c Combine like terms: -6c + 6c = 0 24 + 6c = 42 + 0 24 + 6c = 42 Add '-24' to each side of the equation. 24 + -24 + 6c = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 6c = 42 + -24 6c = 42 + -24 Combine like terms: 42 + -24 = 18 6c = 18 Divide each side by '6'. c = 3 Simplifying c = 3
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