9(4+5v)-5v=10(5v-6)+6

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Solution for 9(4+5v)-5v=10(5v-6)+6 equation:


Simplifying
9(4 + 5v) + -5v = 10(5v + -6) + 6
(4 * 9 + 5v * 9) + -5v = 10(5v + -6) + 6
(36 + 45v) + -5v = 10(5v + -6) + 6

Combine like terms: 45v + -5v = 40v
36 + 40v = 10(5v + -6) + 6

Reorder the terms:
36 + 40v = 10(-6 + 5v) + 6
36 + 40v = (-6 * 10 + 5v * 10) + 6
36 + 40v = (-60 + 50v) + 6

Reorder the terms:
36 + 40v = -60 + 6 + 50v

Combine like terms: -60 + 6 = -54
36 + 40v = -54 + 50v

Solving
36 + 40v = -54 + 50v

Solving for variable 'v'.

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

Add '-50v' to each side of the equation.
36 + 40v + -50v = -54 + 50v + -50v

Combine like terms: 40v + -50v = -10v
36 + -10v = -54 + 50v + -50v

Combine like terms: 50v + -50v = 0
36 + -10v = -54 + 0
36 + -10v = -54

Add '-36' to each side of the equation.
36 + -36 + -10v = -54 + -36

Combine like terms: 36 + -36 = 0
0 + -10v = -54 + -36
-10v = -54 + -36

Combine like terms: -54 + -36 = -90
-10v = -90

Divide each side by '-10'.
v = 9

Simplifying
v = 9

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