4(4k+2)-8(k-1)=3(2k+5)-2

Solution for 4(4k+2)-8(k-1)=3(2k+5)-2 equation:

Simplifying
4(4k + 2) + -8(k + -1) = 3(2k + 5) + -2

Reorder the terms:
4(2 + 4k) + -8(k + -1) = 3(2k + 5) + -2
(2 * 4 + 4k * 4) + -8(k + -1) = 3(2k + 5) + -2
(8 + 16k) + -8(k + -1) = 3(2k + 5) + -2

Reorder the terms:
8 + 16k + -8(-1 + k) = 3(2k + 5) + -2
8 + 16k + (-1 * -8 + k * -8) = 3(2k + 5) + -2
8 + 16k + (8 + -8k) = 3(2k + 5) + -2

Reorder the terms:
8 + 8 + 16k + -8k = 3(2k + 5) + -2

Combine like terms: 8 + 8 = 16
16 + 16k + -8k = 3(2k + 5) + -2

Combine like terms: 16k + -8k = 8k
16 + 8k = 3(2k + 5) + -2

Reorder the terms:
16 + 8k = 3(5 + 2k) + -2
16 + 8k = (5 * 3 + 2k * 3) + -2
16 + 8k = (15 + 6k) + -2

Reorder the terms:
16 + 8k = 15 + -2 + 6k

Combine like terms: 15 + -2 = 13
16 + 8k = 13 + 6k

Solving
16 + 8k = 13 + 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 = 13 + 6k + -6k

Combine like terms: 8k + -6k = 2k
16 + 2k = 13 + 6k + -6k

Combine like terms: 6k + -6k = 0
16 + 2k = 13 + 0
16 + 2k = 13

Add '-16' to each side of the equation.
16 + -16 + 2k = 13 + -16

Combine like terms: 16 + -16 = 0
0 + 2k = 13 + -16
2k = 13 + -16

Combine like terms: 13 + -16 = -3
2k = -3

Divide each side by '2'.
k = -1.5

Simplifying
k = -1.5