5(v-13)+2(v-25)=11

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Solution for 5(v-13)+2(v-25)=11 equation: 


Simplifying
5(v + -13) + 2(v + -25) = 11

Reorder the terms:
5(-13 + v) + 2(v + -25) = 11
(-13 * 5 + v * 5) + 2(v + -25) = 11
(-65 + 5v) + 2(v + -25) = 11

Reorder the terms:
-65 + 5v + 2(-25 + v) = 11
-65 + 5v + (-25 * 2 + v * 2) = 11
-65 + 5v + (-50 + 2v) = 11

Reorder the terms:
-65 + -50 + 5v + 2v = 11

Combine like terms: -65 + -50 = -115
-115 + 5v + 2v = 11

Combine like terms: 5v + 2v = 7v
-115 + 7v = 11

Solving
-115 + 7v = 11

Solving for variable 'v'.

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

Add '115' to each side of the equation.
-115 + 115 + 7v = 11 + 115

Combine like terms: -115 + 115 = 0
0 + 7v = 11 + 115
7v = 11 + 115

Combine like terms: 11 + 115 = 126
7v = 126

Divide each side by '7'.
v = 18

Simplifying
v = 18

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