3(4p+1)-2(p-5)=

Solution for 3(4p+1)-2(p-5)= equation:

Simplifying
3(4p + 1) + -2(p + -5) = 0

Reorder the terms:
3(1 + 4p) + -2(p + -5) = 0
(1 * 3 + 4p * 3) + -2(p + -5) = 0
(3 + 12p) + -2(p + -5) = 0

Reorder the terms:
3 + 12p + -2(-5 + p) = 0
3 + 12p + (-5 * -2 + p * -2) = 0
3 + 12p + (10 + -2p) = 0

Reorder the terms:
3 + 10 + 12p + -2p = 0

Combine like terms: 3 + 10 = 13
13 + 12p + -2p = 0

Combine like terms: 12p + -2p = 10p
13 + 10p = 0

Solving
13 + 10p = 0

Solving for variable 'p'.

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

Add '-13' to each side of the equation.
13 + -13 + 10p = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 10p = 0 + -13
10p = 0 + -13

Combine like terms: 0 + -13 = -13
10p = -13

Divide each side by '10'.
p = -1.3

Simplifying
p = -1.3