.3(a-9)=.5a+2-8+.9a

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Solution for .3(a-9)=.5a+2-8+.9a equation:


Simplifying
0.3(a + -9) = 0.5a + 2 + -8 + 0.9a

Reorder the terms:
0.3(-9 + a) = 0.5a + 2 + -8 + 0.9a
(-9 * 0.3 + a * 0.3) = 0.5a + 2 + -8 + 0.9a
(-2.7 + 0.3a) = 0.5a + 2 + -8 + 0.9a

Reorder the terms:
-2.7 + 0.3a = 2 + -8 + 0.5a + 0.9a

Combine like terms: 2 + -8 = -6
-2.7 + 0.3a = -6 + 0.5a + 0.9a

Combine like terms: 0.5a + 0.9a = 1.4a
-2.7 + 0.3a = -6 + 1.4a

Solving
-2.7 + 0.3a = -6 + 1.4a

Solving for variable 'a'.

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

Add '-1.4a' to each side of the equation.
-2.7 + 0.3a + -1.4a = -6 + 1.4a + -1.4a

Combine like terms: 0.3a + -1.4a = -1.1a
-2.7 + -1.1a = -6 + 1.4a + -1.4a

Combine like terms: 1.4a + -1.4a = 0.0
-2.7 + -1.1a = -6 + 0.0
-2.7 + -1.1a = -6

Add '2.7' to each side of the equation.
-2.7 + 2.7 + -1.1a = -6 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + -1.1a = -6 + 2.7
-1.1a = -6 + 2.7

Combine like terms: -6 + 2.7 = -3.3
-1.1a = -3.3

Divide each side by '-1.1'.
a = 3

Simplifying
a = 3

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