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

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

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

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

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

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

Combine like terms: 4 + 16 = 20
20 + 16k + -8k = 3(2k + 5) + -2

Combine like terms: 16k + -8k = 8k
20 + 8k = 3(2k + 5) + -2

Reorder the terms:
20 + 8k = 3(5 + 2k) + -2
20 + 8k = (5 * 3 + 2k * 3) + -2
20 + 8k = (15 + 6k) + -2

Reorder the terms:
20 + 8k = 15 + -2 + 6k

Combine like terms: 15 + -2 = 13
20 + 8k = 13 + 6k

Solving
20 + 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.
20 + 8k + -6k = 13 + 6k + -6k

Combine like terms: 8k + -6k = 2k
20 + 2k = 13 + 6k + -6k

Combine like terms: 6k + -6k = 0
20 + 2k = 13 + 0
20 + 2k = 13

Add '-20' to each side of the equation.
20 + -20 + 2k = 13 + -20

Combine like terms: 20 + -20 = 0
0 + 2k = 13 + -20
2k = 13 + -20

Combine like terms: 13 + -20 = -7
2k = -7

Divide each side by '2'.
k = -3.5

Simplifying
k = -3.5