0.75(a-35.8)=a-22.4

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Solution for 0.75(a-35.8)=a-22.4 equation: 


Simplifying
0.75(a + -35.8) = a + -22.4

Reorder the terms:
0.75(-35.8 + a) = a + -22.4
(-35.8 * 0.75 + a * 0.75) = a + -22.4
(-26.85 + 0.75a) = a + -22.4

Reorder the terms:
-26.85 + 0.75a = -22.4 + a

Solving
-26.85 + 0.75a = -22.4 + 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 = -22.4 + a + -1a

Combine like terms: 0.75a + -1a = -0.25a
-26.85 + -0.25a = -22.4 + a + -1a

Combine like terms: a + -1a = 0
-26.85 + -0.25a = -22.4 + 0
-26.85 + -0.25a = -22.4

Add '26.85' to each side of the equation.
-26.85 + 26.85 + -0.25a = -22.4 + 26.85

Combine like terms: -26.85 + 26.85 = 0.00
0.00 + -0.25a = -22.4 + 26.85
-0.25a = -22.4 + 26.85

Combine like terms: -22.4 + 26.85 = 4.45
-0.25a = 4.45

Divide each side by '-0.25'.
a = -17.8

Simplifying
a = -17.8

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