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Simplifying 3c + 3(1 + -1c) = c + -17 3c + (1 * 3 + -1c * 3) = c + -17 3c + (3 + -3c) = c + -17 Reorder the terms: 3 + 3c + -3c = c + -17 Combine like terms: 3c + -3c = 0 3 + 0 = c + -17 3 = c + -17 Reorder the terms: 3 = -17 + c Solving 3 = -17 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 3 + -1c = -17 + c + -1c Combine like terms: c + -1c = 0 3 + -1c = -17 + 0 3 + -1c = -17 Add '-3' to each side of the equation. 3 + -3 + -1c = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = -17 + -3 -1c = -17 + -3 Combine like terms: -17 + -3 = -20 -1c = -20 Divide each side by '-1'. c = 20 Simplifying c = 20
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