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Simplifying -3(5 + -4c) = 3c + 21 (5 * -3 + -4c * -3) = 3c + 21 (-15 + 12c) = 3c + 21 Reorder the terms: -15 + 12c = 21 + 3c Solving -15 + 12c = 21 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -15 + 12c + -3c = 21 + 3c + -3c Combine like terms: 12c + -3c = 9c -15 + 9c = 21 + 3c + -3c Combine like terms: 3c + -3c = 0 -15 + 9c = 21 + 0 -15 + 9c = 21 Add '15' to each side of the equation. -15 + 15 + 9c = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 9c = 21 + 15 9c = 21 + 15 Combine like terms: 21 + 15 = 36 9c = 36 Divide each side by '9'. c = 4 Simplifying c = 4
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