-7v-46=-4(v+7)

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Solution for -7v-46=-4(v+7) equation:


Simplifying
-7v + -46 = -4(v + 7)

Reorder the terms:
-46 + -7v = -4(v + 7)

Reorder the terms:
-46 + -7v = -4(7 + v)
-46 + -7v = (7 * -4 + v * -4)
-46 + -7v = (-28 + -4v)

Solving
-46 + -7v = -28 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
-46 + -7v + 4v = -28 + -4v + 4v

Combine like terms: -7v + 4v = -3v
-46 + -3v = -28 + -4v + 4v

Combine like terms: -4v + 4v = 0
-46 + -3v = -28 + 0
-46 + -3v = -28

Add '46' to each side of the equation.
-46 + 46 + -3v = -28 + 46

Combine like terms: -46 + 46 = 0
0 + -3v = -28 + 46
-3v = -28 + 46

Combine like terms: -28 + 46 = 18
-3v = 18

Divide each side by '-3'.
v = -6

Simplifying
v = -6

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