2.4(v-1.4)=3.6(-v+2.8)

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Solution for 2.4(v-1.4)=3.6(-v+2.8) equation:


Simplifying
2.4(v + -1.4) = 3.6(-1v + 2.8)

Reorder the terms:
2.4(-1.4 + v) = 3.6(-1v + 2.8)
(-1.4 * 2.4 + v * 2.4) = 3.6(-1v + 2.8)
(-3.36 + 2.4v) = 3.6(-1v + 2.8)

Reorder the terms:
-3.36 + 2.4v = 3.6(2.8 + -1v)
-3.36 + 2.4v = (2.8 * 3.6 + -1v * 3.6)
-3.36 + 2.4v = (10.08 + -3.6v)

Solving
-3.36 + 2.4v = 10.08 + -3.6v

Solving for variable 'v'.

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

Add '3.6v' to each side of the equation.
-3.36 + 2.4v + 3.6v = 10.08 + -3.6v + 3.6v

Combine like terms: 2.4v + 3.6v = 6v
-3.36 + 6v = 10.08 + -3.6v + 3.6v

Combine like terms: -3.6v + 3.6v = 0.0
-3.36 + 6v = 10.08 + 0.0
-3.36 + 6v = 10.08

Add '3.36' to each side of the equation.
-3.36 + 3.36 + 6v = 10.08 + 3.36

Combine like terms: -3.36 + 3.36 = 0.00
0.00 + 6v = 10.08 + 3.36
6v = 10.08 + 3.36

Combine like terms: 10.08 + 3.36 = 13.44
6v = 13.44

Divide each side by '6'.
v = 2.24

Simplifying
v = 2.24

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