2.9-3.1(v-1)=-.282v-12.317

Solution for 2.9-3.1(v-1)=-.282v-12.317 equation:

Simplifying
2.9 + -3.1(v + -1) = -0.282v + -12.317

Reorder the terms:
2.9 + -3.1(-1 + v) = -0.282v + -12.317
2.9 + (-1 * -3.1 + v * -3.1) = -0.282v + -12.317
2.9 + (3.1 + -3.1v) = -0.282v + -12.317

Combine like terms: 2.9 + 3.1 = 6
6 + -3.1v = -0.282v + -12.317

Reorder the terms:
6 + -3.1v = -12.317 + -0.282v

Solving
6 + -3.1v = -12.317 + -0.282v

Solving for variable 'v'.

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

Add '0.282v' to each side of the equation.
6 + -3.1v + 0.282v = -12.317 + -0.282v + 0.282v

Combine like terms: -3.1v + 0.282v = -2.818v
6 + -2.818v = -12.317 + -0.282v + 0.282v

Combine like terms: -0.282v + 0.282v = 0.000
6 + -2.818v = -12.317 + 0.000
6 + -2.818v = -12.317

Add '-6' to each side of the equation.
6 + -6 + -2.818v = -12.317 + -6

Combine like terms: 6 + -6 = 0
0 + -2.818v = -12.317 + -6
-2.818v = -12.317 + -6

Combine like terms: -12.317 + -6 = -18.317
-2.818v = -18.317

Divide each side by '-2.818'.
v = 6.5

Simplifying
v = 6.5