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Simplifying -3(6 + -4c) = 4c + 22 (6 * -3 + -4c * -3) = 4c + 22 (-18 + 12c) = 4c + 22 Reorder the terms: -18 + 12c = 22 + 4c Solving -18 + 12c = 22 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -18 + 12c + -4c = 22 + 4c + -4c Combine like terms: 12c + -4c = 8c -18 + 8c = 22 + 4c + -4c Combine like terms: 4c + -4c = 0 -18 + 8c = 22 + 0 -18 + 8c = 22 Add '18' to each side of the equation. -18 + 18 + 8c = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 8c = 22 + 18 8c = 22 + 18 Combine like terms: 22 + 18 = 40 8c = 40 Divide each side by '8'. c = 5 Simplifying c = 5
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