6(1-4v)-7(6+v)=26

Solution for 6(1-4v)-7(6+v)=26 equation:

Simplifying
6(1 + -4v) + -7(6 + v) = 26
(1 * 6 + -4v * 6) + -7(6 + v) = 26
(6 + -24v) + -7(6 + v) = 26
6 + -24v + (6 * -7 + v * -7) = 26
6 + -24v + (-42 + -7v) = 26

Reorder the terms:
6 + -42 + -24v + -7v = 26

Combine like terms: 6 + -42 = -36
-36 + -24v + -7v = 26

Combine like terms: -24v + -7v = -31v
-36 + -31v = 26

Solving
-36 + -31v = 26

Solving for variable 'v'.

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

Add '36' to each side of the equation.
-36 + 36 + -31v = 26 + 36

Combine like terms: -36 + 36 = 0
0 + -31v = 26 + 36
-31v = 26 + 36

Combine like terms: 26 + 36 = 62
-31v = 62

Divide each side by '-31'.
v = -2

Simplifying
v = -2