4.34(3.8a+9.8)=-24.5544+9.2a

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Solution for 4.34(3.8a+9.8)=-24.5544+9.2a equation:


Simplifying
4.34(3.8a + 9.8) = -24.5544 + 9.2a

Reorder the terms:
4.34(9.8 + 3.8a) = -24.5544 + 9.2a
(9.8 * 4.34 + 3.8a * 4.34) = -24.5544 + 9.2a
(42.532 + 16.492a) = -24.5544 + 9.2a

Solving
42.532 + 16.492a = -24.5544 + 9.2a

Solving for variable 'a'.

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

Add '-9.2a' to each side of the equation.
42.532 + 16.492a + -9.2a = -24.5544 + 9.2a + -9.2a

Combine like terms: 16.492a + -9.2a = 7.292a
42.532 + 7.292a = -24.5544 + 9.2a + -9.2a

Combine like terms: 9.2a + -9.2a = 0.0
42.532 + 7.292a = -24.5544 + 0.0
42.532 + 7.292a = -24.5544

Add '-42.532' to each side of the equation.
42.532 + -42.532 + 7.292a = -24.5544 + -42.532

Combine like terms: 42.532 + -42.532 = 0.000
0.000 + 7.292a = -24.5544 + -42.532
7.292a = -24.5544 + -42.532

Combine like terms: -24.5544 + -42.532 = -67.0864
7.292a = -67.0864

Divide each side by '7.292'.
a = -9.2

Simplifying
a = -9.2

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