-2(-1-3v)-3(3+4v)=-49

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Solution for -2(-1-3v)-3(3+4v)=-49 equation: 


Simplifying
-2(-1 + -3v) + -3(3 + 4v) = -49
(-1 * -2 + -3v * -2) + -3(3 + 4v) = -49
(2 + 6v) + -3(3 + 4v) = -49
2 + 6v + (3 * -3 + 4v * -3) = -49
2 + 6v + (-9 + -12v) = -49

Reorder the terms:
2 + -9 + 6v + -12v = -49

Combine like terms: 2 + -9 = -7
-7 + 6v + -12v = -49

Combine like terms: 6v + -12v = -6v
-7 + -6v = -49

Solving
-7 + -6v = -49

Solving for variable 'v'.

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

Add '7' to each side of the equation.
-7 + 7 + -6v = -49 + 7

Combine like terms: -7 + 7 = 0
0 + -6v = -49 + 7
-6v = -49 + 7

Combine like terms: -49 + 7 = -42
-6v = -42

Divide each side by '-6'.
v = 7

Simplifying
v = 7

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