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Simplifying 3(-7c + -3) = -6(3c + -9) Reorder the terms: 3(-3 + -7c) = -6(3c + -9) (-3 * 3 + -7c * 3) = -6(3c + -9) (-9 + -21c) = -6(3c + -9) Reorder the terms: -9 + -21c = -6(-9 + 3c) -9 + -21c = (-9 * -6 + 3c * -6) -9 + -21c = (54 + -18c) Solving -9 + -21c = 54 + -18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18c' to each side of the equation. -9 + -21c + 18c = 54 + -18c + 18c Combine like terms: -21c + 18c = -3c -9 + -3c = 54 + -18c + 18c Combine like terms: -18c + 18c = 0 -9 + -3c = 54 + 0 -9 + -3c = 54 Add '9' to each side of the equation. -9 + 9 + -3c = 54 + 9 Combine like terms: -9 + 9 = 0 0 + -3c = 54 + 9 -3c = 54 + 9 Combine like terms: 54 + 9 = 63 -3c = 63 Divide each side by '-3'. c = -21 Simplifying c = -21
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