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Simplifying -3(7 + 3c) = -6c + -3 (7 * -3 + 3c * -3) = -6c + -3 (-21 + -9c) = -6c + -3 Reorder the terms: -21 + -9c = -3 + -6c Solving -21 + -9c = -3 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. -21 + -9c + 6c = -3 + -6c + 6c Combine like terms: -9c + 6c = -3c -21 + -3c = -3 + -6c + 6c Combine like terms: -6c + 6c = 0 -21 + -3c = -3 + 0 -21 + -3c = -3 Add '21' to each side of the equation. -21 + 21 + -3c = -3 + 21 Combine like terms: -21 + 21 = 0 0 + -3c = -3 + 21 -3c = -3 + 21 Combine like terms: -3 + 21 = 18 -3c = 18 Divide each side by '-3'. c = -6 Simplifying c = -6
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