Final answer:
To solve the equation K+3/7-2(k-4)/4 = 1, distribute the negative sign, combine like terms, convert fractions to have a common denominator, simplify the fraction, get rid of the fraction, combine like terms, subtract 17 from both sides of the equation, and divide both sides by -7 to find that k = 10/7.
Step-by-step explanation:
To solve the equation K+3/7-2(k-4)/4 =1:
1. Distribute the negative sign to the terms inside the parentheses: K + 3/7 - 2k + 8/4 = 1
2. Combine like terms: K - 2k + 3/7 + 8/4 = 1
3. Convert the fractions to have a common denominator: K - 2k + 12/28 + 56/28 = 1
4. Combine the fractions: K - 2k + 68/28 = 1
5. Simplify the fraction and convert it to a mixed number: K - 2k + 17/7 = 1
6. Get rid of the fraction by multiplying both sides of the equation by 7: 7K - 14k + 17 = 7
7. Combine like terms: -7k + 17 = 7 - 7K
8. Subtract 17 from both sides of the equation: -7k = -10
9. Divide both sides of the equation by -7: k = 10/7