13.4-11.2a=-4(3a-3.1)

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Solution for 13.4-11.2a=-4(3a-3.1) equation: 


Simplifying
13.4 + -11.2a = -4(3a + -3.1)

Reorder the terms:
13.4 + -11.2a = -4(-3.1 + 3a)
13.4 + -11.2a = (-3.1 * -4 + 3a * -4)
13.4 + -11.2a = (12.4 + -12a)

Solving
13.4 + -11.2a = 12.4 + -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
13.4 + -11.2a + 12a = 12.4 + -12a + 12a

Combine like terms: -11.2a + 12a = 0.8a
13.4 + 0.8a = 12.4 + -12a + 12a

Combine like terms: -12a + 12a = 0
13.4 + 0.8a = 12.4 + 0
13.4 + 0.8a = 12.4

Add '-13.4' to each side of the equation.
13.4 + -13.4 + 0.8a = 12.4 + -13.4

Combine like terms: 13.4 + -13.4 = 0.0
0.0 + 0.8a = 12.4 + -13.4
0.8a = 12.4 + -13.4

Combine like terms: 12.4 + -13.4 = -1
0.8a = -1

Divide each side by '0.8'.
a = -1.25

Simplifying
a = -1.25

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