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Simplifying 6(5c + 3) = 6(3c + 4) Reorder the terms: 6(3 + 5c) = 6(3c + 4) (3 * 6 + 5c * 6) = 6(3c + 4) (18 + 30c) = 6(3c + 4) Reorder the terms: 18 + 30c = 6(4 + 3c) 18 + 30c = (4 * 6 + 3c * 6) 18 + 30c = (24 + 18c) Solving 18 + 30c = 24 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 18 + 30c + -18c = 24 + 18c + -18c Combine like terms: 30c + -18c = 12c 18 + 12c = 24 + 18c + -18c Combine like terms: 18c + -18c = 0 18 + 12c = 24 + 0 18 + 12c = 24 Add '-18' to each side of the equation. 18 + -18 + 12c = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 12c = 24 + -18 12c = 24 + -18 Combine like terms: 24 + -18 = 6 12c = 6 Divide each side by '12'. c = 0.5 Simplifying c = 0.5
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