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

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


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

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

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

Combine like terms: -6v + -4v = -10v
28 + -10v = 5v + -2

Reorder the terms:
28 + -10v = -2 + 5v

Solving
28 + -10v = -2 + 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.
28 + -10v + -5v = -2 + 5v + -5v

Combine like terms: -10v + -5v = -15v
28 + -15v = -2 + 5v + -5v

Combine like terms: 5v + -5v = 0
28 + -15v = -2 + 0
28 + -15v = -2

Add '-28' to each side of the equation.
28 + -28 + -15v = -2 + -28

Combine like terms: 28 + -28 = 0
0 + -15v = -2 + -28
-15v = -2 + -28

Combine like terms: -2 + -28 = -30
-15v = -30

Divide each side by '-15'.
v = 2

Simplifying
v = 2

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