0.1(a+3)=0.125(9-a)

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Solution for 0.1(a+3)=0.125(9-a) equation: 


Simplifying
0.1(a + 3) = 0.125(9 + -1a)

Reorder the terms:
0.1(3 + a) = 0.125(9 + -1a)
(3 * 0.1 + a * 0.1) = 0.125(9 + -1a)
(0.3 + 0.1a) = 0.125(9 + -1a)
0.3 + 0.1a = (9 * 0.125 + -1a * 0.125)
0.3 + 0.1a = (1.125 + -0.125a)

Solving
0.3 + 0.1a = 1.125 + -0.125a

Solving for variable 'a'.

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

Add '0.125a' to each side of the equation.
0.3 + 0.1a + 0.125a = 1.125 + -0.125a + 0.125a

Combine like terms: 0.1a + 0.125a = 0.225a
0.3 + 0.225a = 1.125 + -0.125a + 0.125a

Combine like terms: -0.125a + 0.125a = 0.000
0.3 + 0.225a = 1.125 + 0.000
0.3 + 0.225a = 1.125

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.225a = 1.125 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.225a = 1.125 + -0.3
0.225a = 1.125 + -0.3

Combine like terms: 1.125 + -0.3 = 0.825
0.225a = 0.825

Divide each side by '0.225'.
a = 3.666666667

Simplifying
a = 3.666666667

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