-38.46+3.7a=5.5(1+2.1a)

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Solution for -38.46+3.7a=5.5(1+2.1a) equation: 


Simplifying
-38.46 + 3.7a = 5.5(1 + 2.1a)
-38.46 + 3.7a = (1 * 5.5 + 2.1a * 5.5)
-38.46 + 3.7a = (5.5 + 11.55a)

Solving
-38.46 + 3.7a = 5.5 + 11.55a

Solving for variable 'a'.

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

Add '-11.55a' to each side of the equation.
-38.46 + 3.7a + -11.55a = 5.5 + 11.55a + -11.55a

Combine like terms: 3.7a + -11.55a = -7.85a
-38.46 + -7.85a = 5.5 + 11.55a + -11.55a

Combine like terms: 11.55a + -11.55a = 0.00
-38.46 + -7.85a = 5.5 + 0.00
-38.46 + -7.85a = 5.5

Add '38.46' to each side of the equation.
-38.46 + 38.46 + -7.85a = 5.5 + 38.46

Combine like terms: -38.46 + 38.46 = 0.00
0.00 + -7.85a = 5.5 + 38.46
-7.85a = 5.5 + 38.46

Combine like terms: 5.5 + 38.46 = 43.96
-7.85a = 43.96

Divide each side by '-7.85'.
a = -5.6

Simplifying
a = -5.6

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