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Simplifying -15c + 7c + 1 = 3 + -8 + c Reorder the terms: 1 + -15c + 7c = 3 + -8 + c Combine like terms: -15c + 7c = -8c 1 + -8c = 3 + -8 + c Combine like terms: 3 + -8 = -5 1 + -8c = -5 + c Solving 1 + -8c = -5 + 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. 1 + -8c + -1c = -5 + c + -1c Combine like terms: -8c + -1c = -9c 1 + -9c = -5 + c + -1c Combine like terms: c + -1c = 0 1 + -9c = -5 + 0 1 + -9c = -5 Add '-1' to each side of the equation. 1 + -1 + -9c = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -9c = -5 + -1 -9c = -5 + -1 Combine like terms: -5 + -1 = -6 -9c = -6 Divide each side by '-9'. c = 0.6666666667 Simplifying c = 0.6666666667
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