-4(v+7)-(2v-3)=-5-5v-6

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Solution for -4(v+7)-(2v-3)=-5-5v-6 equation:


Simplifying
-4(v + 7) + -1(2v + -3) = -5 + -5v + -6

Reorder the terms:
-4(7 + v) + -1(2v + -3) = -5 + -5v + -6
(7 * -4 + v * -4) + -1(2v + -3) = -5 + -5v + -6
(-28 + -4v) + -1(2v + -3) = -5 + -5v + -6

Reorder the terms:
-28 + -4v + -1(-3 + 2v) = -5 + -5v + -6
-28 + -4v + (-3 * -1 + 2v * -1) = -5 + -5v + -6
-28 + -4v + (3 + -2v) = -5 + -5v + -6

Reorder the terms:
-28 + 3 + -4v + -2v = -5 + -5v + -6

Combine like terms: -28 + 3 = -25
-25 + -4v + -2v = -5 + -5v + -6

Combine like terms: -4v + -2v = -6v
-25 + -6v = -5 + -5v + -6

Reorder the terms:
-25 + -6v = -5 + -6 + -5v

Combine like terms: -5 + -6 = -11
-25 + -6v = -11 + -5v

Solving
-25 + -6v = -11 + -5v

Solving for variable 'v'.

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

Add '5v' to each side of the equation.
-25 + -6v + 5v = -11 + -5v + 5v

Combine like terms: -6v + 5v = -1v
-25 + -1v = -11 + -5v + 5v

Combine like terms: -5v + 5v = 0
-25 + -1v = -11 + 0
-25 + -1v = -11

Add '25' to each side of the equation.
-25 + 25 + -1v = -11 + 25

Combine like terms: -25 + 25 = 0
0 + -1v = -11 + 25
-1v = -11 + 25

Combine like terms: -11 + 25 = 14
-1v = 14

Divide each side by '-1'.
v = -14

Simplifying
v = -14

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