5(1.2a+6)=7.1a+34.4

Solution for 5(1.2a+6)=7.1a+34.4 equation:

Simplifying
5(1.2a + 6) = 7.1a + 34.4

Reorder the terms:
5(6 + 1.2a) = 7.1a + 34.4
(6 * 5 + 1.2a * 5) = 7.1a + 34.4
(30 + 6a) = 7.1a + 34.4

Reorder the terms:
30 + 6a = 34.4 + 7.1a

Solving
30 + 6a = 34.4 + 7.1a

Solving for variable 'a'.

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

Add '-7.1a' to each side of the equation.
30 + 6a + -7.1a = 34.4 + 7.1a + -7.1a

Combine like terms: 6a + -7.1a = -1.1a
30 + -1.1a = 34.4 + 7.1a + -7.1a

Combine like terms: 7.1a + -7.1a = 0.0
30 + -1.1a = 34.4 + 0.0
30 + -1.1a = 34.4

Add '-30' to each side of the equation.
30 + -30 + -1.1a = 34.4 + -30

Combine like terms: 30 + -30 = 0
0 + -1.1a = 34.4 + -30
-1.1a = 34.4 + -30

Combine like terms: 34.4 + -30 = 4.4
-1.1a = 4.4

Divide each side by '-1.1'.
a = -4

Simplifying
a = -4