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

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

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

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

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

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

Combine like terms: 4 + 8 = 12
12 + 16k + -8k = 3(k + 4) + -1

Combine like terms: 16k + -8k = 8k
12 + 8k = 3(k + 4) + -1

Reorder the terms:
12 + 8k = 3(4 + k) + -1
12 + 8k = (4 * 3 + k * 3) + -1
12 + 8k = (12 + 3k) + -1

Reorder the terms:
12 + 8k = 12 + -1 + 3k

Combine like terms: 12 + -1 = 11
12 + 8k = 11 + 3k

Solving
12 + 8k = 11 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
12 + 8k + -3k = 11 + 3k + -3k

Combine like terms: 8k + -3k = 5k
12 + 5k = 11 + 3k + -3k

Combine like terms: 3k + -3k = 0
12 + 5k = 11 + 0
12 + 5k = 11

Add '-12' to each side of the equation.
12 + -12 + 5k = 11 + -12

Combine like terms: 12 + -12 = 0
0 + 5k = 11 + -12
5k = 11 + -12

Combine like terms: 11 + -12 = -1
5k = -1

Divide each side by '5'.
k = -0.2

Simplifying
k = -0.2