6=2(2q+2)-(10q-2)

Solution for 6=2(2q+2)-(10q-2) equation:

Simplifying
6 = 2(2q + 2) + -1(10q + -2)

Reorder the terms:
6 = 2(2 + 2q) + -1(10q + -2)
6 = (2 * 2 + 2q * 2) + -1(10q + -2)
6 = (4 + 4q) + -1(10q + -2)

Reorder the terms:
6 = 4 + 4q + -1(-2 + 10q)
6 = 4 + 4q + (-2 * -1 + 10q * -1)
6 = 4 + 4q + (2 + -10q)

Reorder the terms:
6 = 4 + 2 + 4q + -10q

Combine like terms: 4 + 2 = 6
6 = 6 + 4q + -10q

Combine like terms: 4q + -10q = -6q
6 = 6 + -6q

Add '-6' to each side of the equation.
6 + -6 = 6 + -6 + -6q

Combine like terms: 6 + -6 = 0
0 = 6 + -6 + -6q

Combine like terms: 6 + -6 = 0
0 = 0 + -6q
0 = -6q

Solving
0 = -6q

Solving for variable 'q'.

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

Add '6q' to each side of the equation.
0 + 6q = -6q + 6q
Remove the zero:
6q = -6q + 6q

Combine like terms: -6q + 6q = 0
6q = 0

Divide each side by '6'.
q = 0

Simplifying
q = 0