4(2+3k)-(9+11k)=45

Solution for 4(2+3k)-(9+11k)=45 equation:

Simplifying
4(2 + 3k) + -1(9 + 11k) = 45
(2 * 4 + 3k * 4) + -1(9 + 11k) = 45
(8 + 12k) + -1(9 + 11k) = 45
8 + 12k + (9 * -1 + 11k * -1) = 45
8 + 12k + (-9 + -11k) = 45

Reorder the terms:
8 + -9 + 12k + -11k = 45

Combine like terms: 8 + -9 = -1
-1 + 12k + -11k = 45

Combine like terms: 12k + -11k = 1k
-1 + 1k = 45

Solving
-1 + 1k = 45

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + 1 + 1k = 45 + 1

Combine like terms: -1 + 1 = 0
0 + 1k = 45 + 1
1k = 45 + 1

Combine like terms: 45 + 1 = 46
1k = 46

Divide each side by '1'.
k = 46

Simplifying
k = 46