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Simplifying 23c + 8 + -4c + 17 = -1c + c + -6 + -7 Reorder the terms: 8 + 17 + 23c + -4c = -1c + c + -6 + -7 Combine like terms: 8 + 17 = 25 25 + 23c + -4c = -1c + c + -6 + -7 Combine like terms: 23c + -4c = 19c 25 + 19c = -1c + c + -6 + -7 Reorder the terms: 25 + 19c = -6 + -7 + -1c + c Combine like terms: -6 + -7 = -13 25 + 19c = -13 + -1c + c Combine like terms: -1c + c = 0 25 + 19c = -13 + 0 25 + 19c = -13 Solving 25 + 19c = -13 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 19c = -13 + -25 Combine like terms: 25 + -25 = 0 0 + 19c = -13 + -25 19c = -13 + -25 Combine like terms: -13 + -25 = -38 19c = -38 Divide each side by '19'. c = -2 Simplifying c = -2
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