6.1(4.4a-1.1)=7.3a-37.974

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Solution for 6.1(4.4a-1.1)=7.3a-37.974 equation: 


Simplifying
6.1(4.4a + -1.1) = 7.3a + -37.974

Reorder the terms:
6.1(-1.1 + 4.4a) = 7.3a + -37.974
(-1.1 * 6.1 + 4.4a * 6.1) = 7.3a + -37.974
(-6.71 + 26.84a) = 7.3a + -37.974

Reorder the terms:
-6.71 + 26.84a = -37.974 + 7.3a

Solving
-6.71 + 26.84a = -37.974 + 7.3a

Solving for variable 'a'.

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

Add '-7.3a' to each side of the equation.
-6.71 + 26.84a + -7.3a = -37.974 + 7.3a + -7.3a

Combine like terms: 26.84a + -7.3a = 19.54a
-6.71 + 19.54a = -37.974 + 7.3a + -7.3a

Combine like terms: 7.3a + -7.3a = 0.0
-6.71 + 19.54a = -37.974 + 0.0
-6.71 + 19.54a = -37.974

Add '6.71' to each side of the equation.
-6.71 + 6.71 + 19.54a = -37.974 + 6.71

Combine like terms: -6.71 + 6.71 = 0.00
0.00 + 19.54a = -37.974 + 6.71
19.54a = -37.974 + 6.71

Combine like terms: -37.974 + 6.71 = -31.264
19.54a = -31.264

Divide each side by '19.54'.
a = -1.6

Simplifying
a = -1.6

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