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Simplifying 24 = 6(7c + 1) Reorder the terms: 24 = 6(1 + 7c) 24 = (1 * 6 + 7c * 6) 24 = (6 + 42c) Solving 24 = 6 + 42c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-42c' to each side of the equation. 24 + -42c = 6 + 42c + -42c Combine like terms: 42c + -42c = 0 24 + -42c = 6 + 0 24 + -42c = 6 Add '-24' to each side of the equation. 24 + -24 + -42c = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -42c = 6 + -24 -42c = 6 + -24 Combine like terms: 6 + -24 = -18 -42c = -18 Divide each side by '-42'. c = 0.4285714286 Simplifying c = 0.4285714286
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