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Simplifying 3(6c + 18) = 6(7 + 4c) Reorder the terms: 3(18 + 6c) = 6(7 + 4c) (18 * 3 + 6c * 3) = 6(7 + 4c) (54 + 18c) = 6(7 + 4c) 54 + 18c = (7 * 6 + 4c * 6) 54 + 18c = (42 + 24c) Solving 54 + 18c = 42 + 24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24c' to each side of the equation. 54 + 18c + -24c = 42 + 24c + -24c Combine like terms: 18c + -24c = -6c 54 + -6c = 42 + 24c + -24c Combine like terms: 24c + -24c = 0 54 + -6c = 42 + 0 54 + -6c = 42 Add '-54' to each side of the equation. 54 + -54 + -6c = 42 + -54 Combine like terms: 54 + -54 = 0 0 + -6c = 42 + -54 -6c = 42 + -54 Combine like terms: 42 + -54 = -12 -6c = -12 Divide each side by '-6'. c = 2 Simplifying c = 2
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