6(1[v-5]1)-8v=-[38]

Solution for 6(1[v-5]1)-8v=-[38] equation:

Simplifying
6(1[v + -5] * 1) + -8v = -1[38]

Reorder the terms:
6(1[-5 + v] * 1) + -8v = -1[38]

Reorder the terms for easier multiplication:
6(1 * 1[-5 + v]) + -8v = -1[38]

Multiply 1 * 1
6(1[-5 + v]) + -8v = -1[38]
6([-5 * 1 + v * 1]) + -8v = -1[38]
6([-5 + 1v]) + -8v = -1[38]
(-5 * 6 + 1v * 6) + -8v = -1[38]
(-30 + 6v) + -8v = -1[38]

Combine like terms: 6v + -8v = -2v
-30 + -2v = -1[38]

Multiply -1 * 38
-30 + -2v = -38

Solving
-30 + -2v = -38

Solving for variable 'v'.

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

Add '30' to each side of the equation.
-30 + 30 + -2v = -38 + 30

Combine like terms: -30 + 30 = 0
0 + -2v = -38 + 30
-2v = -38 + 30

Combine like terms: -38 + 30 = -8
-2v = -8

Divide each side by '-2'.
v = 4

Simplifying
v = 4