7q+2(3-2w)=4(w+2)-(w-6)

Solution for 7q+2(3-2w)=4(w+2)-(w-6) equation:

Simplifying
7q + 2(3 + -2w) = 4(w + 2) + -1(w + -6)
7q + (3 * 2 + -2w * 2) = 4(w + 2) + -1(w + -6)
7q + (6 + -4w) = 4(w + 2) + -1(w + -6)

Reorder the terms:
6 + 7q + -4w = 4(w + 2) + -1(w + -6)

Reorder the terms:
6 + 7q + -4w = 4(2 + w) + -1(w + -6)
6 + 7q + -4w = (2 * 4 + w * 4) + -1(w + -6)
6 + 7q + -4w = (8 + 4w) + -1(w + -6)

Reorder the terms:
6 + 7q + -4w = 8 + 4w + -1(-6 + w)
6 + 7q + -4w = 8 + 4w + (-6 * -1 + w * -1)
6 + 7q + -4w = 8 + 4w + (6 + -1w)

Reorder the terms:
6 + 7q + -4w = 8 + 6 + 4w + -1w

Combine like terms: 8 + 6 = 14
6 + 7q + -4w = 14 + 4w + -1w

Combine like terms: 4w + -1w = 3w
6 + 7q + -4w = 14 + 3w

Solving
6 + 7q + -4w = 14 + 3w

Solving for variable 'q'.

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

Add '-6' to each side of the equation.
6 + 7q + -6 + -4w = 14 + -6 + 3w

Reorder the terms:
6 + -6 + 7q + -4w = 14 + -6 + 3w

Combine like terms: 6 + -6 = 0
0 + 7q + -4w = 14 + -6 + 3w
7q + -4w = 14 + -6 + 3w

Combine like terms: 14 + -6 = 8
7q + -4w = 8 + 3w

Add '4w' to each side of the equation.
7q + -4w + 4w = 8 + 3w + 4w

Combine like terms: -4w + 4w = 0
7q + 0 = 8 + 3w + 4w
7q = 8 + 3w + 4w

Combine like terms: 3w + 4w = 7w
7q = 8 + 7w

Divide each side by '7'.
q = 1.142857143 + w

Simplifying
q = 1.142857143 + w