Answer:
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
