k-8+7=4(6k+1)-8(k-5)

Solution for k-8+7=4(6k+1)-8(k-5) equation:

Simplifying
k + -8 + 7 = 4(6k + 1) + -8(k + -5)

Reorder the terms:
-8 + 7 + k = 4(6k + 1) + -8(k + -5)

Combine like terms: -8 + 7 = -1
-1 + k = 4(6k + 1) + -8(k + -5)

Reorder the terms:
-1 + k = 4(1 + 6k) + -8(k + -5)
-1 + k = (1 * 4 + 6k * 4) + -8(k + -5)
-1 + k = (4 + 24k) + -8(k + -5)

Reorder the terms:
-1 + k = 4 + 24k + -8(-5 + k)
-1 + k = 4 + 24k + (-5 * -8 + k * -8)
-1 + k = 4 + 24k + (40 + -8k)

Reorder the terms:
-1 + k = 4 + 40 + 24k + -8k

Combine like terms: 4 + 40 = 44
-1 + k = 44 + 24k + -8k

Combine like terms: 24k + -8k = 16k
-1 + k = 44 + 16k

Solving
-1 + k = 44 + 16k

Solving for variable 'k'.

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

Add '-16k' to each side of the equation.
-1 + k + -16k = 44 + 16k + -16k

Combine like terms: k + -16k = -15k
-1 + -15k = 44 + 16k + -16k

Combine like terms: 16k + -16k = 0
-1 + -15k = 44 + 0
-1 + -15k = 44

Add '1' to each side of the equation.
-1 + 1 + -15k = 44 + 1

Combine like terms: -1 + 1 = 0
0 + -15k = 44 + 1
-15k = 44 + 1

Combine like terms: 44 + 1 = 45
-15k = 45

Divide each side by '-15'.
k = -3

Simplifying
k = -3