5(3v-2)-3(4v+3)=44

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Solution for 5(3v-2)-3(4v+3)=44 equation:


Simplifying
5(3v + -2) + -3(4v + 3) = 44

Reorder the terms:
5(-2 + 3v) + -3(4v + 3) = 44
(-2 * 5 + 3v * 5) + -3(4v + 3) = 44
(-10 + 15v) + -3(4v + 3) = 44

Reorder the terms:
-10 + 15v + -3(3 + 4v) = 44
-10 + 15v + (3 * -3 + 4v * -3) = 44
-10 + 15v + (-9 + -12v) = 44

Reorder the terms:
-10 + -9 + 15v + -12v = 44

Combine like terms: -10 + -9 = -19
-19 + 15v + -12v = 44

Combine like terms: 15v + -12v = 3v
-19 + 3v = 44

Solving
-19 + 3v = 44

Solving for variable 'v'.

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

Add '19' to each side of the equation.
-19 + 19 + 3v = 44 + 19

Combine like terms: -19 + 19 = 0
0 + 3v = 44 + 19
3v = 44 + 19

Combine like terms: 44 + 19 = 63
3v = 63

Divide each side by '3'.
v = 21

Simplifying
v = 21

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