4(3p+1)+2(p-3)=40

Solution for 4(3p+1)+2(p-3)=40 equation:

Simplifying
4(3p + 1) + 2(p + -3) = 40

Reorder the terms:
4(1 + 3p) + 2(p + -3) = 40
(1 * 4 + 3p * 4) + 2(p + -3) = 40
(4 + 12p) + 2(p + -3) = 40

Reorder the terms:
4 + 12p + 2(-3 + p) = 40
4 + 12p + (-3 * 2 + p * 2) = 40
4 + 12p + (-6 + 2p) = 40

Reorder the terms:
4 + -6 + 12p + 2p = 40

Combine like terms: 4 + -6 = -2
-2 + 12p + 2p = 40

Combine like terms: 12p + 2p = 14p
-2 + 14p = 40

Solving
-2 + 14p = 40

Solving for variable 'p'.

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

Add '2' to each side of the equation.
-2 + 2 + 14p = 40 + 2

Combine like terms: -2 + 2 = 0
0 + 14p = 40 + 2
14p = 40 + 2

Combine like terms: 40 + 2 = 42
14p = 42

Divide each side by '14'.
p = 3

Simplifying
p = 3