3(4p+6)-2(p-7)=

Solution for 3(4p+6)-2(p-7)= equation:

Simplifying
3(4p + 6) + -2(p + -7) = 0

Reorder the terms:
3(6 + 4p) + -2(p + -7) = 0
(6 * 3 + 4p * 3) + -2(p + -7) = 0
(18 + 12p) + -2(p + -7) = 0

Reorder the terms:
18 + 12p + -2(-7 + p) = 0
18 + 12p + (-7 * -2 + p * -2) = 0
18 + 12p + (14 + -2p) = 0

Reorder the terms:
18 + 14 + 12p + -2p = 0

Combine like terms: 18 + 14 = 32
32 + 12p + -2p = 0

Combine like terms: 12p + -2p = 10p
32 + 10p = 0

Solving
32 + 10p = 0

Solving for variable 'p'.

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

Add '-32' to each side of the equation.
32 + -32 + 10p = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 10p = 0 + -32
10p = 0 + -32

Combine like terms: 0 + -32 = -32
10p = -32

Divide each side by '10'.
p = -3.2

Simplifying
p = -3.2