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

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


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

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

Reorder the terms:
-18 + 8v + -3(-11 + v) = -52
-18 + 8v + (-11 * -3 + v * -3) = -52
-18 + 8v + (33 + -3v) = -52

Reorder the terms:
-18 + 33 + 8v + -3v = -52

Combine like terms: -18 + 33 = 15
15 + 8v + -3v = -52

Combine like terms: 8v + -3v = 5v
15 + 5v = -52

Solving
15 + 5v = -52

Solving for variable 'v'.

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

Add '-15' to each side of the equation.
15 + -15 + 5v = -52 + -15

Combine like terms: 15 + -15 = 0
0 + 5v = -52 + -15
5v = -52 + -15

Combine like terms: -52 + -15 = -67
5v = -67

Divide each side by '5'.
v = -13.4

Simplifying
v = -13.4

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