0.8(7-0.5q)+3q=1.6q-0.4(q-28)

Solution for 0.8(7-0.5q)+3q=1.6q-0.4(q-28) equation:

Simplifying
0.8(7 + -0.5q) + 3q = 1.6q + -0.4(q + -28)
(7 * 0.8 + -0.5q * 0.8) + 3q = 1.6q + -0.4(q + -28)
(5.6 + -0.4q) + 3q = 1.6q + -0.4(q + -28)

Combine like terms: -0.4q + 3q = 2.6q
5.6 + 2.6q = 1.6q + -0.4(q + -28)

Reorder the terms:
5.6 + 2.6q = 1.6q + -0.4(-28 + q)
5.6 + 2.6q = 1.6q + (-28 * -0.4 + q * -0.4)
5.6 + 2.6q = 1.6q + (11.2 + -0.4q)

Reorder the terms:
5.6 + 2.6q = 11.2 + 1.6q + -0.4q

Combine like terms: 1.6q + -0.4q = 1.2q
5.6 + 2.6q = 11.2 + 1.2q

Solving
5.6 + 2.6q = 11.2 + 1.2q

Solving for variable 'q'.

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

Add '-1.2q' to each side of the equation.
5.6 + 2.6q + -1.2q = 11.2 + 1.2q + -1.2q

Combine like terms: 2.6q + -1.2q = 1.4q
5.6 + 1.4q = 11.2 + 1.2q + -1.2q

Combine like terms: 1.2q + -1.2q = 0.0
5.6 + 1.4q = 11.2 + 0.0
5.6 + 1.4q = 11.2

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 1.4q = 11.2 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 1.4q = 11.2 + -5.6
1.4q = 11.2 + -5.6

Combine like terms: 11.2 + -5.6 = 5.6
1.4q = 5.6

Divide each side by '1.4'.
q = 4

Simplifying
q = 4