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Simplifying 47 = 8c + -17 Reorder the terms: 47 = -17 + 8c Solving 47 = -17 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 47 + -8c = -17 + 8c + -8c Combine like terms: 8c + -8c = 0 47 + -8c = -17 + 0 47 + -8c = -17 Add '-47' to each side of the equation. 47 + -47 + -8c = -17 + -47 Combine like terms: 47 + -47 = 0 0 + -8c = -17 + -47 -8c = -17 + -47 Combine like terms: -17 + -47 = -64 -8c = -64 Divide each side by '-8'. c = 8 Simplifying c = 8
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