.18a+.1(20-a)=.14(20)+.16a

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Solution for .18a+.1(20-a)=.14(20)+.16a equation:


Simplifying
0.18a + 0.1(20 + -1a) = 0.14(20) + 0.16a
0.18a + (20 * 0.1 + -1a * 0.1) = 0.14(20) + 0.16a
0.18a + (2 + -0.1a) = 0.14(20) + 0.16a

Reorder the terms:
2 + 0.18a + -0.1a = 0.14(20) + 0.16a

Combine like terms: 0.18a + -0.1a = 0.08a
2 + 0.08a = 0.14(20) + 0.16a

Multiply 0.14 * 20
2 + 0.08a = 2.8 + 0.16a

Solving
2 + 0.08a = 2.8 + 0.16a

Solving for variable 'a'.

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

Add '-0.16a' to each side of the equation.
2 + 0.08a + -0.16a = 2.8 + 0.16a + -0.16a

Combine like terms: 0.08a + -0.16a = -0.08a
2 + -0.08a = 2.8 + 0.16a + -0.16a

Combine like terms: 0.16a + -0.16a = 0.00
2 + -0.08a = 2.8 + 0.00
2 + -0.08a = 2.8

Add '-2' to each side of the equation.
2 + -2 + -0.08a = 2.8 + -2

Combine like terms: 2 + -2 = 0
0 + -0.08a = 2.8 + -2
-0.08a = 2.8 + -2

Combine like terms: 2.8 + -2 = 0.8
-0.08a = 0.8

Divide each side by '-0.08'.
a = -10

Simplifying
a = -10

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