0.2(a-10)=0.3a+5-3+0.1a

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Solution for 0.2(a-10)=0.3a+5-3+0.1a equation:


Simplifying
0.2(a + -10) = 0.3a + 5 + -3 + 0.1a

Reorder the terms:
0.2(-10 + a) = 0.3a + 5 + -3 + 0.1a
(-10 * 0.2 + a * 0.2) = 0.3a + 5 + -3 + 0.1a
(-2 + 0.2a) = 0.3a + 5 + -3 + 0.1a

Reorder the terms:
-2 + 0.2a = 5 + -3 + 0.3a + 0.1a

Combine like terms: 5 + -3 = 2
-2 + 0.2a = 2 + 0.3a + 0.1a

Combine like terms: 0.3a + 0.1a = 0.4a
-2 + 0.2a = 2 + 0.4a

Solving
-2 + 0.2a = 2 + 0.4a

Solving for variable 'a'.

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

Add '-0.4a' to each side of the equation.
-2 + 0.2a + -0.4a = 2 + 0.4a + -0.4a

Combine like terms: 0.2a + -0.4a = -0.2a
-2 + -0.2a = 2 + 0.4a + -0.4a

Combine like terms: 0.4a + -0.4a = 0.0
-2 + -0.2a = 2 + 0.0
-2 + -0.2a = 2

Add '2' to each side of the equation.
-2 + 2 + -0.2a = 2 + 2

Combine like terms: -2 + 2 = 0
0 + -0.2a = 2 + 2
-0.2a = 2 + 2

Combine like terms: 2 + 2 = 4
-0.2a = 4

Divide each side by '-0.2'.
a = -20

Simplifying
a = -20

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