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Simplifying -8c + 1 = 7c + -14 + -2c Reorder the terms: 1 + -8c = 7c + -14 + -2c Reorder the terms: 1 + -8c = -14 + 7c + -2c Combine like terms: 7c + -2c = 5c 1 + -8c = -14 + 5c Solving 1 + -8c = -14 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 1 + -8c + -5c = -14 + 5c + -5c Combine like terms: -8c + -5c = -13c 1 + -13c = -14 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -13c = -14 + 0 1 + -13c = -14 Add '-1' to each side of the equation. 1 + -1 + -13c = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -13c = -14 + -1 -13c = -14 + -1 Combine like terms: -14 + -1 = -15 -13c = -15 Divide each side by '-13'. c = 1.153846154 Simplifying c = 1.153846154
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