22.5+5a=-8(3a-2.5)

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Solution for 22.5+5a=-8(3a-2.5) equation: 


Simplifying
22.5 + 5a = -8(3a + -2.5)

Reorder the terms:
22.5 + 5a = -8(-2.5 + 3a)
22.5 + 5a = (-2.5 * -8 + 3a * -8)
22.5 + 5a = (20 + -24a)

Solving
22.5 + 5a = 20 + -24a

Solving for variable 'a'.

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

Add '24a' to each side of the equation.
22.5 + 5a + 24a = 20 + -24a + 24a

Combine like terms: 5a + 24a = 29a
22.5 + 29a = 20 + -24a + 24a

Combine like terms: -24a + 24a = 0
22.5 + 29a = 20 + 0
22.5 + 29a = 20

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 29a = 20 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 29a = 20 + -22.5
29a = 20 + -22.5

Combine like terms: 20 + -22.5 = -2.5
29a = -2.5

Divide each side by '29'.
a = -0.08620689655

Simplifying
a = -0.08620689655

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