-4(2v-5)+3v=7(v+5)

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Solution for -4(2v-5)+3v=7(v+5) equation:


Simplifying
-4(2v + -5) + 3v = 7(v + 5)

Reorder the terms:
-4(-5 + 2v) + 3v = 7(v + 5)
(-5 * -4 + 2v * -4) + 3v = 7(v + 5)
(20 + -8v) + 3v = 7(v + 5)

Combine like terms: -8v + 3v = -5v
20 + -5v = 7(v + 5)

Reorder the terms:
20 + -5v = 7(5 + v)
20 + -5v = (5 * 7 + v * 7)
20 + -5v = (35 + 7v)

Solving
20 + -5v = 35 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
20 + -5v + -7v = 35 + 7v + -7v

Combine like terms: -5v + -7v = -12v
20 + -12v = 35 + 7v + -7v

Combine like terms: 7v + -7v = 0
20 + -12v = 35 + 0
20 + -12v = 35

Add '-20' to each side of the equation.
20 + -20 + -12v = 35 + -20

Combine like terms: 20 + -20 = 0
0 + -12v = 35 + -20
-12v = 35 + -20

Combine like terms: 35 + -20 = 15
-12v = 15

Divide each side by '-12'.
v = -1.25

Simplifying
v = -1.25

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