6.5v+7=12.4+0.5(5.5v-6.3)

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Solution for 6.5v+7=12.4+0.5(5.5v-6.3) equation: 


Simplifying
6.5v + 7 = 12.4 + 0.5(5.5v + -6.3)

Reorder the terms:
7 + 6.5v = 12.4 + 0.5(5.5v + -6.3)

Reorder the terms:
7 + 6.5v = 12.4 + 0.5(-6.3 + 5.5v)
7 + 6.5v = 12.4 + (-6.3 * 0.5 + 5.5v * 0.5)
7 + 6.5v = 12.4 + (-3.15 + 2.75v)

Combine like terms: 12.4 + -3.15 = 9.25
7 + 6.5v = 9.25 + 2.75v

Solving
7 + 6.5v = 9.25 + 2.75v

Solving for variable 'v'.

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

Add '-2.75v' to each side of the equation.
7 + 6.5v + -2.75v = 9.25 + 2.75v + -2.75v

Combine like terms: 6.5v + -2.75v = 3.75v
7 + 3.75v = 9.25 + 2.75v + -2.75v

Combine like terms: 2.75v + -2.75v = 0.00
7 + 3.75v = 9.25 + 0.00
7 + 3.75v = 9.25

Add '-7' to each side of the equation.
7 + -7 + 3.75v = 9.25 + -7

Combine like terms: 7 + -7 = 0
0 + 3.75v = 9.25 + -7
3.75v = 9.25 + -7

Combine like terms: 9.25 + -7 = 2.25
3.75v = 2.25

Divide each side by '3.75'.
v = 0.6

Simplifying
v = 0.6

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