-22.5=5.5+7.5(a+9.5)

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Solution for -22.5=5.5+7.5(a+9.5) equation: 


Simplifying
-22.5 = 5.5 + 7.5(a + 9.5)

Reorder the terms:
-22.5 = 5.5 + 7.5(9.5 + a)
-22.5 = 5.5 + (9.5 * 7.5 + a * 7.5)
-22.5 = 5.5 + (71.25 + 7.5a)

Combine like terms: 5.5 + 71.25 = 76.75
-22.5 = 76.75 + 7.5a

Solving
-22.5 = 76.75 + 7.5a

Solving for variable 'a'.

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

Add '-7.5a' to each side of the equation.
-22.5 + -7.5a = 76.75 + 7.5a + -7.5a

Combine like terms: 7.5a + -7.5a = 0.0
-22.5 + -7.5a = 76.75 + 0.0
-22.5 + -7.5a = 76.75

Add '22.5' to each side of the equation.
-22.5 + 22.5 + -7.5a = 76.75 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + -7.5a = 76.75 + 22.5
-7.5a = 76.75 + 22.5

Combine like terms: 76.75 + 22.5 = 99.25
-7.5a = 99.25

Divide each side by '-7.5'.
a = -13.23333333

Simplifying
a = -13.23333333

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