3(2p-7)-2(p+8)=

Solution for 3(2p-7)-2(p+8)= equation:

Simplifying
3(2p + -7) + -2(p + 8) = 0

Reorder the terms:
3(-7 + 2p) + -2(p + 8) = 0
(-7 * 3 + 2p * 3) + -2(p + 8) = 0
(-21 + 6p) + -2(p + 8) = 0

Reorder the terms:
-21 + 6p + -2(8 + p) = 0
-21 + 6p + (8 * -2 + p * -2) = 0
-21 + 6p + (-16 + -2p) = 0

Reorder the terms:
-21 + -16 + 6p + -2p = 0

Combine like terms: -21 + -16 = -37
-37 + 6p + -2p = 0

Combine like terms: 6p + -2p = 4p
-37 + 4p = 0

Solving
-37 + 4p = 0

Solving for variable 'p'.

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

Add '37' to each side of the equation.
-37 + 37 + 4p = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 4p = 0 + 37
4p = 0 + 37

Combine like terms: 0 + 37 = 37
4p = 37

Divide each side by '4'.
p = 9.25

Simplifying
p = 9.25