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Simplifying 9c + -3(3 + -1c) = 4c + -17 9c + (3 * -3 + -1c * -3) = 4c + -17 9c + (-9 + 3c) = 4c + -17 Reorder the terms: -9 + 9c + 3c = 4c + -17 Combine like terms: 9c + 3c = 12c -9 + 12c = 4c + -17 Reorder the terms: -9 + 12c = -17 + 4c Solving -9 + 12c = -17 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -9 + 12c + -4c = -17 + 4c + -4c Combine like terms: 12c + -4c = 8c -9 + 8c = -17 + 4c + -4c Combine like terms: 4c + -4c = 0 -9 + 8c = -17 + 0 -9 + 8c = -17 Add '9' to each side of the equation. -9 + 9 + 8c = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 8c = -17 + 9 8c = -17 + 9 Combine like terms: -17 + 9 = -8 8c = -8 Divide each side by '8'. c = -1 Simplifying c = -1
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