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Simplifying 2(7c + -1) + -17 = 12c + 2 Reorder the terms: 2(-1 + 7c) + -17 = 12c + 2 (-1 * 2 + 7c * 2) + -17 = 12c + 2 (-2 + 14c) + -17 = 12c + 2 Reorder the terms: -2 + -17 + 14c = 12c + 2 Combine like terms: -2 + -17 = -19 -19 + 14c = 12c + 2 Reorder the terms: -19 + 14c = 2 + 12c Solving -19 + 14c = 2 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -19 + 14c + -12c = 2 + 12c + -12c Combine like terms: 14c + -12c = 2c -19 + 2c = 2 + 12c + -12c Combine like terms: 12c + -12c = 0 -19 + 2c = 2 + 0 -19 + 2c = 2 Add '19' to each side of the equation. -19 + 19 + 2c = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 2c = 2 + 19 2c = 2 + 19 Combine like terms: 2 + 19 = 21 2c = 21 Divide each side by '2'. c = 10.5 Simplifying c = 10.5
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