6(-4k+10)=4(-3k-8)-11k

Solution for 6(-4k+10)=4(-3k-8)-11k equation:

Simplifying
6(-4k + 10) = 4(-3k + -8) + -11k

Reorder the terms:
6(10 + -4k) = 4(-3k + -8) + -11k
(10 * 6 + -4k * 6) = 4(-3k + -8) + -11k
(60 + -24k) = 4(-3k + -8) + -11k

Reorder the terms:
60 + -24k = 4(-8 + -3k) + -11k
60 + -24k = (-8 * 4 + -3k * 4) + -11k
60 + -24k = (-32 + -12k) + -11k

Combine like terms: -12k + -11k = -23k
60 + -24k = -32 + -23k

Solving
60 + -24k = -32 + -23k

Solving for variable 'k'.

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

Add '23k' to each side of the equation.
60 + -24k + 23k = -32 + -23k + 23k

Combine like terms: -24k + 23k = -1k
60 + -1k = -32 + -23k + 23k

Combine like terms: -23k + 23k = 0
60 + -1k = -32 + 0
60 + -1k = -32

Add '-60' to each side of the equation.
60 + -60 + -1k = -32 + -60

Combine like terms: 60 + -60 = 0
0 + -1k = -32 + -60
-1k = -32 + -60

Combine like terms: -32 + -60 = -92
-1k = -92

Divide each side by '-1'.
k = 92

Simplifying
k = 92