0.11(3a+5)=0.37(2a-1)

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Solution for 0.11(3a+5)=0.37(2a-1) equation: 


Simplifying
0.11(3a + 5) = 0.37(2a + -1)

Reorder the terms:
0.11(5 + 3a) = 0.37(2a + -1)
(5 * 0.11 + 3a * 0.11) = 0.37(2a + -1)
(0.55 + 0.33a) = 0.37(2a + -1)

Reorder the terms:
0.55 + 0.33a = 0.37(-1 + 2a)
0.55 + 0.33a = (-1 * 0.37 + 2a * 0.37)
0.55 + 0.33a = (-0.37 + 0.74a)

Solving
0.55 + 0.33a = -0.37 + 0.74a

Solving for variable 'a'.

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

Add '-0.74a' to each side of the equation.
0.55 + 0.33a + -0.74a = -0.37 + 0.74a + -0.74a

Combine like terms: 0.33a + -0.74a = -0.41a
0.55 + -0.41a = -0.37 + 0.74a + -0.74a

Combine like terms: 0.74a + -0.74a = 0.00
0.55 + -0.41a = -0.37 + 0.00
0.55 + -0.41a = -0.37

Add '-0.55' to each side of the equation.
0.55 + -0.55 + -0.41a = -0.37 + -0.55

Combine like terms: 0.55 + -0.55 = 0.00
0.00 + -0.41a = -0.37 + -0.55
-0.41a = -0.37 + -0.55

Combine like terms: -0.37 + -0.55 = -0.92
-0.41a = -0.92

Divide each side by '-0.41'.
a = 2.243902439

Simplifying
a = 2.243902439

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