-17.5-4.5a=8(3.5a-5)

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Solution for -17.5-4.5a=8(3.5a-5) equation: 


Simplifying
-17.5 + -4.5a = 8(3.5a + -5)

Reorder the terms:
-17.5 + -4.5a = 8(-5 + 3.5a)
-17.5 + -4.5a = (-5 * 8 + 3.5a * 8)
-17.5 + -4.5a = (-40 + 28a)

Solving
-17.5 + -4.5a = -40 + 28a

Solving for variable 'a'.

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

Add '-28a' to each side of the equation.
-17.5 + -4.5a + -28a = -40 + 28a + -28a

Combine like terms: -4.5a + -28a = -32.5a
-17.5 + -32.5a = -40 + 28a + -28a

Combine like terms: 28a + -28a = 0
-17.5 + -32.5a = -40 + 0
-17.5 + -32.5a = -40

Add '17.5' to each side of the equation.
-17.5 + 17.5 + -32.5a = -40 + 17.5

Combine like terms: -17.5 + 17.5 = 0.0
0.0 + -32.5a = -40 + 17.5
-32.5a = -40 + 17.5

Combine like terms: -40 + 17.5 = -22.5
-32.5a = -22.5

Divide each side by '-32.5'.
a = 0.6923076923

Simplifying
a = 0.6923076923

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