10(4v-7)=15(6v-2)

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Solution for 10(4v-7)=15(6v-2) equation:


Simplifying
10(4v + -7) = 15(6v + -2)

Reorder the terms:
10(-7 + 4v) = 15(6v + -2)
(-7 * 10 + 4v * 10) = 15(6v + -2)
(-70 + 40v) = 15(6v + -2)

Reorder the terms:
-70 + 40v = 15(-2 + 6v)
-70 + 40v = (-2 * 15 + 6v * 15)
-70 + 40v = (-30 + 90v)

Solving
-70 + 40v = -30 + 90v

Solving for variable 'v'.

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

Add '-90v' to each side of the equation.
-70 + 40v + -90v = -30 + 90v + -90v

Combine like terms: 40v + -90v = -50v
-70 + -50v = -30 + 90v + -90v

Combine like terms: 90v + -90v = 0
-70 + -50v = -30 + 0
-70 + -50v = -30

Add '70' to each side of the equation.
-70 + 70 + -50v = -30 + 70

Combine like terms: -70 + 70 = 0
0 + -50v = -30 + 70
-50v = -30 + 70

Combine like terms: -30 + 70 = 40
-50v = 40

Divide each side by '-50'.
v = -0.8

Simplifying
v = -0.8

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