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Simplifying 12c + 9(7 + -1c) = 0 12c + (7 * 9 + -1c * 9) = 0 12c + (63 + -9c) = 0 Reorder the terms: 63 + 12c + -9c = 0 Combine like terms: 12c + -9c = 3c 63 + 3c = 0 Solving 63 + 3c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 3c = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 3c = 0 + -63 3c = 0 + -63 Combine like terms: 0 + -63 = -63 3c = -63 Divide each side by '3'. c = -21 Simplifying c = -21
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