.06a+.12(a+500)=186

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Solution for .06a+.12(a+500)=186 equation:


Simplifying
0.06a + 0.12(a + 500) = 186

Reorder the terms:
0.06a + 0.12(500 + a) = 186
0.06a + (500 * 0.12 + a * 0.12) = 186
0.06a + (60 + 0.12a) = 186

Reorder the terms:
60 + 0.06a + 0.12a = 186

Combine like terms: 0.06a + 0.12a = 0.18a
60 + 0.18a = 186

Solving
60 + 0.18a = 186

Solving for variable 'a'.

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

Add '-60' to each side of the equation.
60 + -60 + 0.18a = 186 + -60

Combine like terms: 60 + -60 = 0
0 + 0.18a = 186 + -60
0.18a = 186 + -60

Combine like terms: 186 + -60 = 126
0.18a = 126

Divide each side by '0.18'.
a = 700

Simplifying
a = 700

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