3(p+7)=1(p-6)

Solution for 3(p+7)=1(p-6) equation:

Simplifying
3(p + 7) = 1(p + -6)

Reorder the terms:
3(7 + p) = 1(p + -6)
(7 * 3 + p * 3) = 1(p + -6)
(21 + 3p) = 1(p + -6)

Reorder the terms:
21 + 3p = 1(-6 + p)
21 + 3p = (-6 * 1 + p * 1)
21 + 3p = (-6 + 1p)

Solving
21 + 3p = -6 + 1p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
21 + 3p + -1p = -6 + 1p + -1p

Combine like terms: 3p + -1p = 2p
21 + 2p = -6 + 1p + -1p

Combine like terms: 1p + -1p = 0
21 + 2p = -6 + 0
21 + 2p = -6

Add '-21' to each side of the equation.
21 + -21 + 2p = -6 + -21

Combine like terms: 21 + -21 = 0
0 + 2p = -6 + -21
2p = -6 + -21

Combine like terms: -6 + -21 = -27
2p = -27

Divide each side by '2'.
p = -13.5

Simplifying
p = -13.5