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Simplifying c + 6 + c + -17 = c + 40 Reorder the terms: 6 + -17 + c + c = c + 40 Combine like terms: 6 + -17 = -11 -11 + c + c = c + 40 Combine like terms: c + c = 2c -11 + 2c = c + 40 Reorder the terms: -11 + 2c = 40 + c Solving -11 + 2c = 40 + 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. -11 + 2c + -1c = 40 + c + -1c Combine like terms: 2c + -1c = 1c -11 + 1c = 40 + c + -1c Combine like terms: c + -1c = 0 -11 + 1c = 40 + 0 -11 + 1c = 40 Add '11' to each side of the equation. -11 + 11 + 1c = 40 + 11 Combine like terms: -11 + 11 = 0 0 + 1c = 40 + 11 1c = 40 + 11 Combine like terms: 40 + 11 = 51 1c = 51 Divide each side by '1'. c = 51 Simplifying c = 51
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