10(v-7)+5(4v-6)=26v

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Solution for 10(v-7)+5(4v-6)=26v equation: 


Simplifying
10(v + -7) + 5(4v + -6) = 26v

Reorder the terms:
10(-7 + v) + 5(4v + -6) = 26v
(-7 * 10 + v * 10) + 5(4v + -6) = 26v
(-70 + 10v) + 5(4v + -6) = 26v

Reorder the terms:
-70 + 10v + 5(-6 + 4v) = 26v
-70 + 10v + (-6 * 5 + 4v * 5) = 26v
-70 + 10v + (-30 + 20v) = 26v

Reorder the terms:
-70 + -30 + 10v + 20v = 26v

Combine like terms: -70 + -30 = -100
-100 + 10v + 20v = 26v

Combine like terms: 10v + 20v = 30v
-100 + 30v = 26v

Solving
-100 + 30v = 26v

Solving for variable 'v'.

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

Add '-26v' to each side of the equation.
-100 + 30v + -26v = 26v + -26v

Combine like terms: 30v + -26v = 4v
-100 + 4v = 26v + -26v

Combine like terms: 26v + -26v = 0
-100 + 4v = 0

Add '100' to each side of the equation.
-100 + 100 + 4v = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 4v = 0 + 100
4v = 0 + 100

Combine like terms: 0 + 100 = 100
4v = 100

Divide each side by '4'.
v = 25

Simplifying
v = 25

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