3=-1(v-4)+4(2v-9)

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Solution for 3=-1(v-4)+4(2v-9) equation:


Simplifying
3 = -1(v + -4) + 4(2v + -9)

Reorder the terms:
3 = -1(-4 + v) + 4(2v + -9)
3 = (-4 * -1 + v * -1) + 4(2v + -9)
3 = (4 + -1v) + 4(2v + -9)

Reorder the terms:
3 = 4 + -1v + 4(-9 + 2v)
3 = 4 + -1v + (-9 * 4 + 2v * 4)
3 = 4 + -1v + (-36 + 8v)

Reorder the terms:
3 = 4 + -36 + -1v + 8v

Combine like terms: 4 + -36 = -32
3 = -32 + -1v + 8v

Combine like terms: -1v + 8v = 7v
3 = -32 + 7v

Solving
3 = -32 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
3 + -7v = -32 + 7v + -7v

Combine like terms: 7v + -7v = 0
3 + -7v = -32 + 0
3 + -7v = -32

Add '-3' to each side of the equation.
3 + -3 + -7v = -32 + -3

Combine like terms: 3 + -3 = 0
0 + -7v = -32 + -3
-7v = -32 + -3

Combine like terms: -32 + -3 = -35
-7v = -35

Divide each side by '-7'.
v = 5

Simplifying
v = 5

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