9-v-4(7v+8)=5v-(6v-3)

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Solution for 9-v-4(7v+8)=5v-(6v-3) equation:


Simplifying
9 + -1v + -4(7v + 8) = 5v + -1(6v + -3)

Reorder the terms:
9 + -1v + -4(8 + 7v) = 5v + -1(6v + -3)
9 + -1v + (8 * -4 + 7v * -4) = 5v + -1(6v + -3)
9 + -1v + (-32 + -28v) = 5v + -1(6v + -3)

Reorder the terms:
9 + -32 + -1v + -28v = 5v + -1(6v + -3)

Combine like terms: 9 + -32 = -23
-23 + -1v + -28v = 5v + -1(6v + -3)

Combine like terms: -1v + -28v = -29v
-23 + -29v = 5v + -1(6v + -3)

Reorder the terms:
-23 + -29v = 5v + -1(-3 + 6v)
-23 + -29v = 5v + (-3 * -1 + 6v * -1)
-23 + -29v = 5v + (3 + -6v)

Reorder the terms:
-23 + -29v = 3 + 5v + -6v

Combine like terms: 5v + -6v = -1v
-23 + -29v = 3 + -1v

Solving
-23 + -29v = 3 + -1v

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
-23 + -29v + v = 3 + -1v + v

Combine like terms: -29v + v = -28v
-23 + -28v = 3 + -1v + v

Combine like terms: -1v + v = 0
-23 + -28v = 3 + 0
-23 + -28v = 3

Add '23' to each side of the equation.
-23 + 23 + -28v = 3 + 23

Combine like terms: -23 + 23 = 0
0 + -28v = 3 + 23
-28v = 3 + 23

Combine like terms: 3 + 23 = 26
-28v = 26

Divide each side by '-28'.
v = -0.9285714286

Simplifying
v = -0.9285714286

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