3(v-3)+6=7v+1

Solution for 3(v-3)+6=7v+1 equation:

Simplifying
3(v + -3) + 6 = 7v + 1

Reorder the terms:
3(-3 + v) + 6 = 7v + 1
(-3 * 3 + v * 3) + 6 = 7v + 1
(-9 + 3v) + 6 = 7v + 1

Reorder the terms:
-9 + 6 + 3v = 7v + 1

Combine like terms: -9 + 6 = -3
-3 + 3v = 7v + 1

Reorder the terms:
-3 + 3v = 1 + 7v

Solving
-3 + 3v = 1 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-3 + 3v + -7v = 1 + 7v + -7v

Combine like terms: 3v + -7v = -4v
-3 + -4v = 1 + 7v + -7v

Combine like terms: 7v + -7v = 0
-3 + -4v = 1 + 0
-3 + -4v = 1

Add '3' to each side of the equation.
-3 + 3 + -4v = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -4v = 1 + 3
-4v = 1 + 3

Combine like terms: 1 + 3 = 4
-4v = 4

Divide each side by '-4'.
v = -1

Simplifying
v = -1