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