6(-3v+1)=5(-2v+t)

Solution for 6(-3v+1)=5(-2v+t) equation:

Simplifying
6(-3v + 1) = 5(-2v + t)

Reorder the terms:
6(1 + -3v) = 5(-2v + t)
(1 * 6 + -3v * 6) = 5(-2v + t)
(6 + -18v) = 5(-2v + t)

Reorder the terms:
6 + -18v = 5(t + -2v)
6 + -18v = (t * 5 + -2v * 5)
6 + -18v = (5t + -10v)

Solving
6 + -18v = 5t + -10v

Solving for variable 'v'.

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

Add '10v' to each side of the equation.
6 + -18v + 10v = 5t + -10v + 10v

Combine like terms: -18v + 10v = -8v
6 + -8v = 5t + -10v + 10v

Combine like terms: -10v + 10v = 0
6 + -8v = 5t + 0
6 + -8v = 5t

Add '-6' to each side of the equation.
6 + -6 + -8v = -6 + 5t

Combine like terms: 6 + -6 = 0
0 + -8v = -6 + 5t
-8v = -6 + 5t

Divide each side by '-8'.
v = 0.75 + -0.625t

Simplifying
v = 0.75 + -0.625t