2 (7k + 1) - 5 (3k + 3) = 1 - 2k + 6 + 5k

k = - 5

Step-by-step explanation:

2 (7k + 1) - 5 (3k + 3) = 1 - 2k + 6 + 5k

At first, we will break the parenthesis by multiplying by the adjacent number. As we know, (+) x (-) = (-) and (-) x (-) = (+) [Algebraic operation]

or, (2*7k) + (2*1) - (5*3k) - (5*3) = (1 + 6) + 5k - 2k

or, 14k + 2 - 15k - 15 = 7 + 3k

Interchanging the values, we can get,

or, 14k - 15k - 3k = 7 + 15 - 2

or, 14k - 18k = 22 - 2

or, - 4k = 20

or, k = 20 / (-4)

or, k = - 5

Therefore, the answer is - 5