6p-8(p-6)+2(q-6)=

Solution for 6p-8(p-6)+2(q-6)= equation:

Simplifying
6p + -8(p + -6) + 2(q + -6) = 0

Reorder the terms:
6p + -8(-6 + p) + 2(q + -6) = 0
6p + (-6 * -8 + p * -8) + 2(q + -6) = 0
6p + (48 + -8p) + 2(q + -6) = 0

Reorder the terms:
6p + 48 + -8p + 2(-6 + q) = 0
6p + 48 + -8p + (-6 * 2 + q * 2) = 0
6p + 48 + -8p + (-12 + 2q) = 0

Reorder the terms:
48 + -12 + 6p + -8p + 2q = 0

Combine like terms: 48 + -12 = 36
36 + 6p + -8p + 2q = 0

Combine like terms: 6p + -8p = -2p
36 + -2p + 2q = 0

Solving
36 + -2p + 2q = 0

Solving for variable 'p'.

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

Add '-36' to each side of the equation.
36 + -2p + -36 + 2q = 0 + -36

Reorder the terms:
36 + -36 + -2p + 2q = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -2p + 2q = 0 + -36
-2p + 2q = 0 + -36

Combine like terms: 0 + -36 = -36
-2p + 2q = -36

Add '-2q' to each side of the equation.
-2p + 2q + -2q = -36 + -2q

Combine like terms: 2q + -2q = 0
-2p + 0 = -36 + -2q
-2p = -36 + -2q

Divide each side by '-2'.
p = 18 + q

Simplifying
p = 18 + q