0.4(v+0.3)=0.6(v-4.8)

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Solution for 0.4(v+0.3)=0.6(v-4.8) equation: 


Simplifying
0.4(v + 0.3) = 0.6(v + -4.8)

Reorder the terms:
0.4(0.3 + v) = 0.6(v + -4.8)
(0.3 * 0.4 + v * 0.4) = 0.6(v + -4.8)
(0.12 + 0.4v) = 0.6(v + -4.8)

Reorder the terms:
0.12 + 0.4v = 0.6(-4.8 + v)
0.12 + 0.4v = (-4.8 * 0.6 + v * 0.6)
0.12 + 0.4v = (-2.88 + 0.6v)

Solving
0.12 + 0.4v = -2.88 + 0.6v

Solving for variable 'v'.

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

Add '-0.6v' to each side of the equation.
0.12 + 0.4v + -0.6v = -2.88 + 0.6v + -0.6v

Combine like terms: 0.4v + -0.6v = -0.2v
0.12 + -0.2v = -2.88 + 0.6v + -0.6v

Combine like terms: 0.6v + -0.6v = 0.0
0.12 + -0.2v = -2.88 + 0.0
0.12 + -0.2v = -2.88

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.2v = -2.88 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.2v = -2.88 + -0.12
-0.2v = -2.88 + -0.12

Combine like terms: -2.88 + -0.12 = -3
-0.2v = -3

Divide each side by '-0.2'.
v = 15

Simplifying
v = 15

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