-6+3k=-4(8-7k)+1

Solution for -6+3k=-4(8-7k)+1 equation:

Simplifying
-6 + 3k = -4(8 + -7k) + 1
-6 + 3k = (8 * -4 + -7k * -4) + 1
-6 + 3k = (-32 + 28k) + 1

Reorder the terms:
-6 + 3k = -32 + 1 + 28k

Combine like terms: -32 + 1 = -31
-6 + 3k = -31 + 28k

Solving
-6 + 3k = -31 + 28k

Solving for variable 'k'.

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

Add '-28k' to each side of the equation.
-6 + 3k + -28k = -31 + 28k + -28k

Combine like terms: 3k + -28k = -25k
-6 + -25k = -31 + 28k + -28k

Combine like terms: 28k + -28k = 0
-6 + -25k = -31 + 0
-6 + -25k = -31

Add '6' to each side of the equation.
-6 + 6 + -25k = -31 + 6

Combine like terms: -6 + 6 = 0
0 + -25k = -31 + 6
-25k = -31 + 6

Combine like terms: -31 + 6 = -25
-25k = -25

Divide each side by '-25'.
k = 1

Simplifying
k = 1