To solve this equation, we need to distribute and simplify on both sides:
3(7+2k) - 4(-7+1/2k) = -19
21 + 6k + 28 - 2k = -19
Combine like terms:
6k - 2k + 21 + 28 = -19
4k + 49 = -19
Subtract 49 from both sides:
4k = -68
Divide by 4:
k = -17
Therefore, the value of k that satisfies the equation is -17.
To solve this equation, we need to distribute and simplify on both sides:
3(7+2k) - 4(-7+1/2k) = -19
21 + 6k + 28 - 2k = -19
Combine like terms:
6k - 2k + 21 + 28 = -19
4k + 49 = -19
Subtract 49 from both sides:
4k = -68
Divide by 4:
k = -17
Therefore, the value of k that satisfies the equation is -17.