0.05a+0.01(90)=0.02(a+90)

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Solution for 0.05a+0.01(90)=0.02(a+90) equation: 


Simplifying
0.05a + 0.01(90) = 0.02(a + 90)

Multiply 0.01 * 90
0.05a + 0.9 = 0.02(a + 90)

Reorder the terms:
0.9 + 0.05a = 0.02(a + 90)

Reorder the terms:
0.9 + 0.05a = 0.02(90 + a)
0.9 + 0.05a = (90 * 0.02 + a * 0.02)
0.9 + 0.05a = (1.8 + 0.02a)

Solving
0.9 + 0.05a = 1.8 + 0.02a

Solving for variable 'a'.

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

Add '-0.02a' to each side of the equation.
0.9 + 0.05a + -0.02a = 1.8 + 0.02a + -0.02a

Combine like terms: 0.05a + -0.02a = 0.03a
0.9 + 0.03a = 1.8 + 0.02a + -0.02a

Combine like terms: 0.02a + -0.02a = 0.00
0.9 + 0.03a = 1.8 + 0.00
0.9 + 0.03a = 1.8

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.03a = 1.8 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.03a = 1.8 + -0.9
0.03a = 1.8 + -0.9

Combine like terms: 1.8 + -0.9 = 0.9
0.03a = 0.9

Divide each side by '0.03'.
a = 30

Simplifying
a = 30

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