10v-7v+6-3=15v+6v-15

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Solution for 10v-7v+6-3=15v+6v-15 equation:


Simplifying
10v + -7v + 6 + -3 = 15v + 6v + -15

Reorder the terms:
6 + -3 + 10v + -7v = 15v + 6v + -15

Combine like terms: 6 + -3 = 3
3 + 10v + -7v = 15v + 6v + -15

Combine like terms: 10v + -7v = 3v
3 + 3v = 15v + 6v + -15

Reorder the terms:
3 + 3v = -15 + 15v + 6v

Combine like terms: 15v + 6v = 21v
3 + 3v = -15 + 21v

Solving
3 + 3v = -15 + 21v

Solving for variable 'v'.

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

Add '-21v' to each side of the equation.
3 + 3v + -21v = -15 + 21v + -21v

Combine like terms: 3v + -21v = -18v
3 + -18v = -15 + 21v + -21v

Combine like terms: 21v + -21v = 0
3 + -18v = -15 + 0
3 + -18v = -15

Add '-3' to each side of the equation.
3 + -3 + -18v = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -18v = -15 + -3
-18v = -15 + -3

Combine like terms: -15 + -3 = -18
-18v = -18

Divide each side by '-18'.
v = 1

Simplifying
v = 1

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