-2.9(a+4.1)=6.83+1.9a

Solution for -2.9(a+4.1)=6.83+1.9a equation:

Simplifying
-2.9(a + 4.1) = 6.83 + 1.9a

Reorder the terms:
-2.9(4.1 + a) = 6.83 + 1.9a
(4.1 * -2.9 + a * -2.9) = 6.83 + 1.9a
(-11.89 + -2.9a) = 6.83 + 1.9a

Solving
-11.89 + -2.9a = 6.83 + 1.9a

Solving for variable 'a'.

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

Add '-1.9a' to each side of the equation.
-11.89 + -2.9a + -1.9a = 6.83 + 1.9a + -1.9a

Combine like terms: -2.9a + -1.9a = -4.8a
-11.89 + -4.8a = 6.83 + 1.9a + -1.9a

Combine like terms: 1.9a + -1.9a = 0.0
-11.89 + -4.8a = 6.83 + 0.0
-11.89 + -4.8a = 6.83

Add '11.89' to each side of the equation.
-11.89 + 11.89 + -4.8a = 6.83 + 11.89

Combine like terms: -11.89 + 11.89 = 0.00
0.00 + -4.8a = 6.83 + 11.89
-4.8a = 6.83 + 11.89

Combine like terms: 6.83 + 11.89 = 18.72
-4.8a = 18.72

Divide each side by '-4.8'.
a = -3.9

Simplifying
a = -3.9