-26.5=9.5+3.5(v-4.5)

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Solution for -26.5=9.5+3.5(v-4.5) equation:


Simplifying
-26.5 = 9.5 + 3.5(v + -4.5)

Reorder the terms:
-26.5 = 9.5 + 3.5(-4.5 + v)
-26.5 = 9.5 + (-4.5 * 3.5 + v * 3.5)
-26.5 = 9.5 + (-15.75 + 3.5v)

Combine like terms: 9.5 + -15.75 = -6.25
-26.5 = -6.25 + 3.5v

Solving
-26.5 = -6.25 + 3.5v

Solving for variable 'v'.

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

Add '-3.5v' to each side of the equation.
-26.5 + -3.5v = -6.25 + 3.5v + -3.5v

Combine like terms: 3.5v + -3.5v = 0.0
-26.5 + -3.5v = -6.25 + 0.0
-26.5 + -3.5v = -6.25

Add '26.5' to each side of the equation.
-26.5 + 26.5 + -3.5v = -6.25 + 26.5

Combine like terms: -26.5 + 26.5 = 0.0
0.0 + -3.5v = -6.25 + 26.5
-3.5v = -6.25 + 26.5

Combine like terms: -6.25 + 26.5 = 20.25
-3.5v = 20.25

Divide each side by '-3.5'.
v = -5.785714286

Simplifying
v = -5.785714286

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