0.75(5v+11)-0.25(11+v)=

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Solution for 0.75(5v+11)-0.25(11+v)= equation:


Simplifying
0.75(5v + 11) + -0.25(11 + v) = 0

Reorder the terms:
0.75(11 + 5v) + -0.25(11 + v) = 0
(11 * 0.75 + 5v * 0.75) + -0.25(11 + v) = 0
(8.25 + 3.75v) + -0.25(11 + v) = 0
8.25 + 3.75v + (11 * -0.25 + v * -0.25) = 0
8.25 + 3.75v + (-2.75 + -0.25v) = 0

Reorder the terms:
8.25 + -2.75 + 3.75v + -0.25v = 0

Combine like terms: 8.25 + -2.75 = 5.5
5.5 + 3.75v + -0.25v = 0

Combine like terms: 3.75v + -0.25v = 3.5v
5.5 + 3.5v = 0

Solving
5.5 + 3.5v = 0

Solving for variable 'v'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 3.5v = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 3.5v = 0 + -5.5
3.5v = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
3.5v = -5.5

Divide each side by '3.5'.
v = -1.571428571

Simplifying
v = -1.571428571

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