1k+1-4(2k-9)=

Solution for 1k+1-4(2k-9)= equation:

Simplifying
1k + 1 + -4(2k + -9) = 0

Reorder the terms:
1k + 1 + -4(-9 + 2k) = 0
1k + 1 + (-9 * -4 + 2k * -4) = 0
1k + 1 + (36 + -8k) = 0

Reorder the terms:
1 + 36 + 1k + -8k = 0

Combine like terms: 1 + 36 = 37
37 + 1k + -8k = 0

Combine like terms: 1k + -8k = -7k
37 + -7k = 0

Solving
37 + -7k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-37' to each side of the equation.
37 + -37 + -7k = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -7k = 0 + -37
-7k = 0 + -37

Combine like terms: 0 + -37 = -37
-7k = -37

Divide each side by '-7'.
k = 5.285714286

Simplifying
k = 5.285714286