6(7+2p)=3(5p+1)

Solution for 6(7+2p)=3(5p+1) equation:

Simplifying
6(7 + 2p) = 3(5p + 1)
(7 * 6 + 2p * 6) = 3(5p + 1)
(42 + 12p) = 3(5p + 1)

Reorder the terms:
42 + 12p = 3(1 + 5p)
42 + 12p = (1 * 3 + 5p * 3)
42 + 12p = (3 + 15p)

Solving
42 + 12p = 3 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
42 + 12p + -15p = 3 + 15p + -15p

Combine like terms: 12p + -15p = -3p
42 + -3p = 3 + 15p + -15p

Combine like terms: 15p + -15p = 0
42 + -3p = 3 + 0
42 + -3p = 3

Add '-42' to each side of the equation.
42 + -42 + -3p = 3 + -42

Combine like terms: 42 + -42 = 0
0 + -3p = 3 + -42
-3p = 3 + -42

Combine like terms: 3 + -42 = -39
-3p = -39

Divide each side by '-3'.
p = 13

Simplifying
p = 13