0.75(2a+3)+0.6(8a-2)-9a=0

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Solution for 0.75(2a+3)+0.6(8a-2)-9a=0 equation: 


Simplifying
0.75(2a + 3) + 0.6(8a + -2) + -9a = 0

Reorder the terms:
0.75(3 + 2a) + 0.6(8a + -2) + -9a = 0
(3 * 0.75 + 2a * 0.75) + 0.6(8a + -2) + -9a = 0
(2.25 + 1.5a) + 0.6(8a + -2) + -9a = 0

Reorder the terms:
2.25 + 1.5a + 0.6(-2 + 8a) + -9a = 0
2.25 + 1.5a + (-2 * 0.6 + 8a * 0.6) + -9a = 0
2.25 + 1.5a + (-1.2 + 4.8a) + -9a = 0

Reorder the terms:
2.25 + -1.2 + 1.5a + 4.8a + -9a = 0

Combine like terms: 2.25 + -1.2 = 1.05
1.05 + 1.5a + 4.8a + -9a = 0

Combine like terms: 1.5a + 4.8a = 6.3a
1.05 + 6.3a + -9a = 0

Combine like terms: 6.3a + -9a = -2.7a
1.05 + -2.7a = 0

Solving
1.05 + -2.7a = 0

Solving for variable 'a'.

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

Add '-1.05' to each side of the equation.
1.05 + -1.05 + -2.7a = 0 + -1.05

Combine like terms: 1.05 + -1.05 = 0.00
0.00 + -2.7a = 0 + -1.05
-2.7a = 0 + -1.05

Combine like terms: 0 + -1.05 = -1.05
-2.7a = -1.05

Divide each side by '-2.7'.
a = 0.3888888889

Simplifying
a = 0.3888888889

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