2(4v-9)-(3v-11)=-52

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Solution for 2(4v-9)-(3v-11)=-52 equation: 


Simplifying
2(4v + -9) + -1(3v + -11) = -52

Reorder the terms:
2(-9 + 4v) + -1(3v + -11) = -52
(-9 * 2 + 4v * 2) + -1(3v + -11) = -52
(-18 + 8v) + -1(3v + -11) = -52

Reorder the terms:
-18 + 8v + -1(-11 + 3v) = -52
-18 + 8v + (-11 * -1 + 3v * -1) = -52
-18 + 8v + (11 + -3v) = -52

Reorder the terms:
-18 + 11 + 8v + -3v = -52

Combine like terms: -18 + 11 = -7
-7 + 8v + -3v = -52

Combine like terms: 8v + -3v = 5v
-7 + 5v = -52

Solving
-7 + 5v = -52

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 + 5v = -52 + 7

Combine like terms: -7 + 7 = 0
0 + 5v = -52 + 7
5v = -52 + 7

Combine like terms: -52 + 7 = -45
5v = -45

Divide each side by '5'.
v = -9

Simplifying
v = -9

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