22.5=-6.5(3.5a+8)

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Solution for 22.5=-6.5(3.5a+8) equation: 


Simplifying
22.5 = -6.5(3.5a + 8)

Reorder the terms:
22.5 = -6.5(8 + 3.5a)
22.5 = (8 * -6.5 + 3.5a * -6.5)
22.5 = (-52 + -22.75a)

Solving
22.5 = -52 + -22.75a

Solving for variable 'a'.

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

Add '22.75a' to each side of the equation.
22.5 + 22.75a = -52 + -22.75a + 22.75a

Combine like terms: -22.75a + 22.75a = 0.00
22.5 + 22.75a = -52 + 0.00
22.5 + 22.75a = -52

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 22.75a = -52 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 22.75a = -52 + -22.5
22.75a = -52 + -22.5

Combine like terms: -52 + -22.5 = -74.5
22.75a = -74.5

Divide each side by '22.75'.
a = -3.274725275

Simplifying
a = -3.274725275

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