6(1+4k)=-5k+6

Solution for 6(1+4k)=-5k+6 equation:

Simplifying
6(1 + 4k) = -5k + 6
(1 * 6 + 4k * 6) = -5k + 6
(6 + 24k) = -5k + 6

Reorder the terms:
6 + 24k = 6 + -5k

Add '-6' to each side of the equation.
6 + -6 + 24k = 6 + -6 + -5k

Combine like terms: 6 + -6 = 0
0 + 24k = 6 + -6 + -5k
24k = 6 + -6 + -5k

Combine like terms: 6 + -6 = 0
24k = 0 + -5k
24k = -5k

Solving
24k = -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
24k + 5k = -5k + 5k

Combine like terms: 24k + 5k = 29k
29k = -5k + 5k

Combine like terms: -5k + 5k = 0
29k = 0

Divide each side by '29'.
k = 0

Simplifying
k = 0