9=7(3-2v)-6(4-3v)

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Solution for 9=7(3-2v)-6(4-3v) equation:


Simplifying
9 = 7(3 + -2v) + -6(4 + -3v)
9 = (3 * 7 + -2v * 7) + -6(4 + -3v)
9 = (21 + -14v) + -6(4 + -3v)
9 = 21 + -14v + (4 * -6 + -3v * -6)
9 = 21 + -14v + (-24 + 18v)

Reorder the terms:
9 = 21 + -24 + -14v + 18v

Combine like terms: 21 + -24 = -3
9 = -3 + -14v + 18v

Combine like terms: -14v + 18v = 4v
9 = -3 + 4v

Solving
9 = -3 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
9 + -4v = -3 + 4v + -4v

Combine like terms: 4v + -4v = 0
9 + -4v = -3 + 0
9 + -4v = -3

Add '-9' to each side of the equation.
9 + -9 + -4v = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -4v = -3 + -9
-4v = -3 + -9

Combine like terms: -3 + -9 = -12
-4v = -12

Divide each side by '-4'.
v = 3

Simplifying
v = 3

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