4.9(1-7.03a)+5.8=1.1a-28.4017

Solution for 4.9(1-7.03a)+5.8=1.1a-28.4017 equation:

Simplifying
4.9(1 + -7.03a) + 5.8 = 1.1a + -28.4017
(1 * 4.9 + -7.03a * 4.9) + 5.8 = 1.1a + -28.4017
(4.9 + -34.447a) + 5.8 = 1.1a + -28.4017

Reorder the terms:
4.9 + 5.8 + -34.447a = 1.1a + -28.4017

Combine like terms: 4.9 + 5.8 = 10.7
10.7 + -34.447a = 1.1a + -28.4017

Reorder the terms:
10.7 + -34.447a = -28.4017 + 1.1a

Solving
10.7 + -34.447a = -28.4017 + 1.1a

Solving for variable 'a'.

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

Add '-1.1a' to each side of the equation.
10.7 + -34.447a + -1.1a = -28.4017 + 1.1a + -1.1a

Combine like terms: -34.447a + -1.1a = -35.547a
10.7 + -35.547a = -28.4017 + 1.1a + -1.1a

Combine like terms: 1.1a + -1.1a = 0.0
10.7 + -35.547a = -28.4017 + 0.0
10.7 + -35.547a = -28.4017

Add '-10.7' to each side of the equation.
10.7 + -10.7 + -35.547a = -28.4017 + -10.7

Combine like terms: 10.7 + -10.7 = 0.0
0.0 + -35.547a = -28.4017 + -10.7
-35.547a = -28.4017 + -10.7

Combine like terms: -28.4017 + -10.7 = -39.1017
-35.547a = -39.1017

Divide each side by '-35.547'.
a = 1.1

Simplifying
a = 1.1