1.3q-7.4q+1.6=-28.9

Solution for 1.3q-7.4q+1.6=-28.9 equation:

Simplifying
1.3q + -7.4q + 1.6 = -28.9

Reorder the terms:
1.6 + 1.3q + -7.4q = -28.9

Combine like terms: 1.3q + -7.4q = -6.1q
1.6 + -6.1q = -28.9

Solving
1.6 + -6.1q = -28.9

Solving for variable 'q'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -6.1q = -28.9 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -6.1q = -28.9 + -1.6
-6.1q = -28.9 + -1.6

Combine like terms: -28.9 + -1.6 = -30.5
-6.1q = -30.5

Divide each side by '-6.1'.
q = 5

Simplifying
q = 5