1(3v-5)+3(6v+21)=34

Solution for 1(3v-5)+3(6v+21)=34 equation:

Simplifying
1(3v + -5) + 3(6v + 21) = 34

Reorder the terms:
1(-5 + 3v) + 3(6v + 21) = 34
(-5 * 1 + 3v * 1) + 3(6v + 21) = 34
(-5 + 3v) + 3(6v + 21) = 34

Reorder the terms:
-5 + 3v + 3(21 + 6v) = 34
-5 + 3v + (21 * 3 + 6v * 3) = 34
-5 + 3v + (63 + 18v) = 34

Reorder the terms:
-5 + 63 + 3v + 18v = 34

Combine like terms: -5 + 63 = 58
58 + 3v + 18v = 34

Combine like terms: 3v + 18v = 21v
58 + 21v = 34

Solving
58 + 21v = 34

Solving for variable 'v'.

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

Add '-58' to each side of the equation.
58 + -58 + 21v = 34 + -58

Combine like terms: 58 + -58 = 0
0 + 21v = 34 + -58
21v = 34 + -58

Combine like terms: 34 + -58 = -24
21v = -24

Divide each side by '21'.
v = -1.142857143

Simplifying
v = -1.142857143