2(3p+1)-4(p+9)=

Solution for 2(3p+1)-4(p+9)= equation:

Simplifying
2(3p + 1) + -4(p + 9) = 0

Reorder the terms:
2(1 + 3p) + -4(p + 9) = 0
(1 * 2 + 3p * 2) + -4(p + 9) = 0
(2 + 6p) + -4(p + 9) = 0

Reorder the terms:
2 + 6p + -4(9 + p) = 0
2 + 6p + (9 * -4 + p * -4) = 0
2 + 6p + (-36 + -4p) = 0

Reorder the terms:
2 + -36 + 6p + -4p = 0

Combine like terms: 2 + -36 = -34
-34 + 6p + -4p = 0

Combine like terms: 6p + -4p = 2p
-34 + 2p = 0

Solving
-34 + 2p = 0

Solving for variable 'p'.

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

Add '34' to each side of the equation.
-34 + 34 + 2p = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 2p = 0 + 34
2p = 0 + 34

Combine like terms: 0 + 34 = 34
2p = 34

Divide each side by '2'.
p = 17

Simplifying
p = 17