22.5=-5(7.5a-2.5)

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Solution for 22.5=-5(7.5a-2.5) equation:


Simplifying
22.5 = -5(7.5a + -2.5)

Reorder the terms:
22.5 = -5(-2.5 + 7.5a)
22.5 = (-2.5 * -5 + 7.5a * -5)
22.5 = (12.5 + -37.5a)

Solving
22.5 = 12.5 + -37.5a

Solving for variable 'a'.

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

Add '37.5a' to each side of the equation.
22.5 + 37.5a = 12.5 + -37.5a + 37.5a

Combine like terms: -37.5a + 37.5a = 0.0
22.5 + 37.5a = 12.5 + 0.0
22.5 + 37.5a = 12.5

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 37.5a = 12.5 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 37.5a = 12.5 + -22.5
37.5a = 12.5 + -22.5

Combine like terms: 12.5 + -22.5 = -10
37.5a = -10

Divide each side by '37.5'.
a = -0.2666666667

Simplifying
a = -0.2666666667

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