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Simplifying -3(6 + -5c) = 11c + 18 (6 * -3 + -5c * -3) = 11c + 18 (-18 + 15c) = 11c + 18 Reorder the terms: -18 + 15c = 18 + 11c Solving -18 + 15c = 18 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -18 + 15c + -11c = 18 + 11c + -11c Combine like terms: 15c + -11c = 4c -18 + 4c = 18 + 11c + -11c Combine like terms: 11c + -11c = 0 -18 + 4c = 18 + 0 -18 + 4c = 18 Add '18' to each side of the equation. -18 + 18 + 4c = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 4c = 18 + 18 4c = 18 + 18 Combine like terms: 18 + 18 = 36 4c = 36 Divide each side by '4'. c = 9 Simplifying c = 9
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