5v-28=4(7v+8)-8v

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Solution for 5v-28=4(7v+8)-8v equation:


Simplifying
5v + -28 = 4(7v + 8) + -8v

Reorder the terms:
-28 + 5v = 4(7v + 8) + -8v

Reorder the terms:
-28 + 5v = 4(8 + 7v) + -8v
-28 + 5v = (8 * 4 + 7v * 4) + -8v
-28 + 5v = (32 + 28v) + -8v

Combine like terms: 28v + -8v = 20v
-28 + 5v = 32 + 20v

Solving
-28 + 5v = 32 + 20v

Solving for variable 'v'.

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

Add '-20v' to each side of the equation.
-28 + 5v + -20v = 32 + 20v + -20v

Combine like terms: 5v + -20v = -15v
-28 + -15v = 32 + 20v + -20v

Combine like terms: 20v + -20v = 0
-28 + -15v = 32 + 0
-28 + -15v = 32

Add '28' to each side of the equation.
-28 + 28 + -15v = 32 + 28

Combine like terms: -28 + 28 = 0
0 + -15v = 32 + 28
-15v = 32 + 28

Combine like terms: 32 + 28 = 60
-15v = 60

Divide each side by '-15'.
v = -4

Simplifying
v = -4

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