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

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

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

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

Reorder the terms:
3 + 6p + 4(4 + 3p) = 0
3 + 6p + (4 * 4 + 3p * 4) = 0
3 + 6p + (16 + 12p) = 0

Reorder the terms:
3 + 16 + 6p + 12p = 0

Combine like terms: 3 + 16 = 19
19 + 6p + 12p = 0

Combine like terms: 6p + 12p = 18p
19 + 18p = 0

Solving
19 + 18p = 0

Solving for variable 'p'.

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

Add '-19' to each side of the equation.
19 + -19 + 18p = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 18p = 0 + -19
18p = 0 + -19

Combine like terms: 0 + -19 = -19
18p = -19

Divide each side by '18'.
p = -1.055555556

Simplifying
p = -1.055555556