-4(10v-7)-(8v+1)=-7v-5-2-7v

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Solution for -4(10v-7)-(8v+1)=-7v-5-2-7v equation:


Simplifying
-4(10v + -7) + -1(8v + 1) = -7v + -5 + -2 + -7v

Reorder the terms:
-4(-7 + 10v) + -1(8v + 1) = -7v + -5 + -2 + -7v
(-7 * -4 + 10v * -4) + -1(8v + 1) = -7v + -5 + -2 + -7v
(28 + -40v) + -1(8v + 1) = -7v + -5 + -2 + -7v

Reorder the terms:
28 + -40v + -1(1 + 8v) = -7v + -5 + -2 + -7v
28 + -40v + (1 * -1 + 8v * -1) = -7v + -5 + -2 + -7v
28 + -40v + (-1 + -8v) = -7v + -5 + -2 + -7v

Reorder the terms:
28 + -1 + -40v + -8v = -7v + -5 + -2 + -7v

Combine like terms: 28 + -1 = 27
27 + -40v + -8v = -7v + -5 + -2 + -7v

Combine like terms: -40v + -8v = -48v
27 + -48v = -7v + -5 + -2 + -7v

Reorder the terms:
27 + -48v = -5 + -2 + -7v + -7v

Combine like terms: -5 + -2 = -7
27 + -48v = -7 + -7v + -7v

Combine like terms: -7v + -7v = -14v
27 + -48v = -7 + -14v

Solving
27 + -48v = -7 + -14v

Solving for variable 'v'.

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

Add '14v' to each side of the equation.
27 + -48v + 14v = -7 + -14v + 14v

Combine like terms: -48v + 14v = -34v
27 + -34v = -7 + -14v + 14v

Combine like terms: -14v + 14v = 0
27 + -34v = -7 + 0
27 + -34v = -7

Add '-27' to each side of the equation.
27 + -27 + -34v = -7 + -27

Combine like terms: 27 + -27 = 0
0 + -34v = -7 + -27
-34v = -7 + -27

Combine like terms: -7 + -27 = -34
-34v = -34

Divide each side by '-34'.
v = 1

Simplifying
v = 1

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