22.9=0.5(a+35)

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Solution for 22.9=0.5(a+35) equation: 


Simplifying
22.9 = 0.5(a + 35)

Reorder the terms:
22.9 = 0.5(35 + a)
22.9 = (35 * 0.5 + a * 0.5)
22.9 = (17.5 + 0.5a)

Solving
22.9 = 17.5 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
22.9 + -0.5a = 17.5 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
22.9 + -0.5a = 17.5 + 0.0
22.9 + -0.5a = 17.5

Add '-22.9' to each side of the equation.
22.9 + -22.9 + -0.5a = 17.5 + -22.9

Combine like terms: 22.9 + -22.9 = 0.0
0.0 + -0.5a = 17.5 + -22.9
-0.5a = 17.5 + -22.9

Combine like terms: 17.5 + -22.9 = -5.4
-0.5a = -5.4

Divide each side by '-0.5'.
a = 10.8

Simplifying
a = 10.8

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