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Simplifying 6c + -17 = 47 + 10c Reorder the terms: -17 + 6c = 47 + 10c Solving -17 + 6c = 47 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -17 + 6c + -10c = 47 + 10c + -10c Combine like terms: 6c + -10c = -4c -17 + -4c = 47 + 10c + -10c Combine like terms: 10c + -10c = 0 -17 + -4c = 47 + 0 -17 + -4c = 47 Add '17' to each side of the equation. -17 + 17 + -4c = 47 + 17 Combine like terms: -17 + 17 = 0 0 + -4c = 47 + 17 -4c = 47 + 17 Combine like terms: 47 + 17 = 64 -4c = 64 Divide each side by '-4'. c = -16 Simplifying c = -16
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