4(4k+2)-8(k-1)=3(2k+1)-1

Solution for 4(4k+2)-8(k-1)=3(2k+1)-1 equation:

Simplifying
4(4k + 2) + -8(k + -1) = 3(2k + 1) + -1

Reorder the terms:
4(2 + 4k) + -8(k + -1) = 3(2k + 1) + -1
(2 * 4 + 4k * 4) + -8(k + -1) = 3(2k + 1) + -1
(8 + 16k) + -8(k + -1) = 3(2k + 1) + -1

Reorder the terms:
8 + 16k + -8(-1 + k) = 3(2k + 1) + -1
8 + 16k + (-1 * -8 + k * -8) = 3(2k + 1) + -1
8 + 16k + (8 + -8k) = 3(2k + 1) + -1

Reorder the terms:
8 + 8 + 16k + -8k = 3(2k + 1) + -1

Combine like terms: 8 + 8 = 16
16 + 16k + -8k = 3(2k + 1) + -1

Combine like terms: 16k + -8k = 8k
16 + 8k = 3(2k + 1) + -1

Reorder the terms:
16 + 8k = 3(1 + 2k) + -1
16 + 8k = (1 * 3 + 2k * 3) + -1
16 + 8k = (3 + 6k) + -1

Reorder the terms:
16 + 8k = 3 + -1 + 6k

Combine like terms: 3 + -1 = 2
16 + 8k = 2 + 6k

Solving
16 + 8k = 2 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
16 + 8k + -6k = 2 + 6k + -6k

Combine like terms: 8k + -6k = 2k
16 + 2k = 2 + 6k + -6k

Combine like terms: 6k + -6k = 0
16 + 2k = 2 + 0
16 + 2k = 2

Add '-16' to each side of the equation.
16 + -16 + 2k = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 2k = 2 + -16
2k = 2 + -16

Combine like terms: 2 + -16 = -14
2k = -14

Divide each side by '2'.
k = -7

Simplifying
k = -7