0.75(a-35.8)=a-24

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Solution for 0.75(a-35.8)=a-24 equation: 


Simplifying
0.75(a + -35.8) = a + -24

Reorder the terms:
0.75(-35.8 + a) = a + -24
(-35.8 * 0.75 + a * 0.75) = a + -24
(-26.85 + 0.75a) = a + -24

Reorder the terms:
-26.85 + 0.75a = -24 + a

Solving
-26.85 + 0.75a = -24 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-26.85 + 0.75a + -1a = -24 + a + -1a

Combine like terms: 0.75a + -1a = -0.25a
-26.85 + -0.25a = -24 + a + -1a

Combine like terms: a + -1a = 0
-26.85 + -0.25a = -24 + 0
-26.85 + -0.25a = -24

Add '26.85' to each side of the equation.
-26.85 + 26.85 + -0.25a = -24 + 26.85

Combine like terms: -26.85 + 26.85 = 0.00
0.00 + -0.25a = -24 + 26.85
-0.25a = -24 + 26.85

Combine like terms: -24 + 26.85 = 2.85
-0.25a = 2.85

Divide each side by '-0.25'.
a = -11.4

Simplifying
a = -11.4

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