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Simplifying -14 + 6c + 7 + -2c = 1 + 5c Reorder the terms: -14 + 7 + 6c + -2c = 1 + 5c Combine like terms: -14 + 7 = -7 -7 + 6c + -2c = 1 + 5c Combine like terms: 6c + -2c = 4c -7 + 4c = 1 + 5c Solving -7 + 4c = 1 + 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. -7 + 4c + -5c = 1 + 5c + -5c Combine like terms: 4c + -5c = -1c -7 + -1c = 1 + 5c + -5c Combine like terms: 5c + -5c = 0 -7 + -1c = 1 + 0 -7 + -1c = 1 Add '7' to each side of the equation. -7 + 7 + -1c = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -1c = 1 + 7 -1c = 1 + 7 Combine like terms: 1 + 7 = 8 -1c = 8 Divide each side by '-1'. c = -8 Simplifying c = -8
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