0.05a+0.01(90)=0.2(a+90)

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Solution for 0.05a+0.01(90)=0.2(a+90) equation: 


Simplifying
0.05a + 0.01(90) = 0.2(a + 90)

Multiply 0.01 * 90
0.05a + 0.9 = 0.2(a + 90)

Reorder the terms:
0.9 + 0.05a = 0.2(a + 90)

Reorder the terms:
0.9 + 0.05a = 0.2(90 + a)
0.9 + 0.05a = (90 * 0.2 + a * 0.2)
0.9 + 0.05a = (18 + 0.2a)

Solving
0.9 + 0.05a = 18 + 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
0.9 + 0.05a + -0.2a = 18 + 0.2a + -0.2a

Combine like terms: 0.05a + -0.2a = -0.15a
0.9 + -0.15a = 18 + 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
0.9 + -0.15a = 18 + 0.0
0.9 + -0.15a = 18

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -0.15a = 18 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.15a = 18 + -0.9
-0.15a = 18 + -0.9

Combine like terms: 18 + -0.9 = 17.1
-0.15a = 17.1

Divide each side by '-0.15'.
a = -114

Simplifying
a = -114

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