3.8a-(-1-9.7a)=2.6+13.3a

Solution for 3.8a-(-1-9.7a)=2.6+13.3a equation:

Simplifying
3.8a + -1(-1 + -9.7a) = 2.6 + 13.3a
3.8a + (-1 * -1 + -9.7a * -1) = 2.6 + 13.3a
3.8a + (1 + 9.7a) = 2.6 + 13.3a

Reorder the terms:
1 + 3.8a + 9.7a = 2.6 + 13.3a

Combine like terms: 3.8a + 9.7a = 13.5a
1 + 13.5a = 2.6 + 13.3a

Solving
1 + 13.5a = 2.6 + 13.3a

Solving for variable 'a'.

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

Add '-13.3a' to each side of the equation.
1 + 13.5a + -13.3a = 2.6 + 13.3a + -13.3a

Combine like terms: 13.5a + -13.3a = 0.2a
1 + 0.2a = 2.6 + 13.3a + -13.3a

Combine like terms: 13.3a + -13.3a = 0.0
1 + 0.2a = 2.6 + 0.0
1 + 0.2a = 2.6

Add '-1' to each side of the equation.
1 + -1 + 0.2a = 2.6 + -1

Combine like terms: 1 + -1 = 0
0 + 0.2a = 2.6 + -1
0.2a = 2.6 + -1

Combine like terms: 2.6 + -1 = 1.6
0.2a = 1.6

Divide each side by '0.2'.
a = 8

Simplifying
a = 8