5a-0.2=3.419+5.3a+2.99a

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Solution for 5a-0.2=3.419+5.3a+2.99a equation:


Simplifying
5a + -0.2 = 3.419 + 5.3a + 2.99a

Reorder the terms:
-0.2 + 5a = 3.419 + 5.3a + 2.99a

Combine like terms: 5.3a + 2.99a = 8.29a
-0.2 + 5a = 3.419 + 8.29a

Solving
-0.2 + 5a = 3.419 + 8.29a

Solving for variable 'a'.

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

Add '-8.29a' to each side of the equation.
-0.2 + 5a + -8.29a = 3.419 + 8.29a + -8.29a

Combine like terms: 5a + -8.29a = -3.29a
-0.2 + -3.29a = 3.419 + 8.29a + -8.29a

Combine like terms: 8.29a + -8.29a = 0.00
-0.2 + -3.29a = 3.419 + 0.00
-0.2 + -3.29a = 3.419

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -3.29a = 3.419 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -3.29a = 3.419 + 0.2
-3.29a = 3.419 + 0.2

Combine like terms: 3.419 + 0.2 = 3.619
-3.29a = 3.619

Divide each side by '-3.29'.
a = -1.1

Simplifying
a = -1.1

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