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

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

Simplifying
3(2p + 1) = 7(-1p) + -6

Reorder the terms:
3(1 + 2p) = 7(-1p) + -6
(1 * 3 + 2p * 3) = 7(-1p) + -6
(3 + 6p) = 7(-1p) + -6

Remove parenthesis around (-1p)
3 + 6p = 7 * -1p + -6

Multiply 7 * -1
3 + 6p = -7p + -6

Reorder the terms:
3 + 6p = -6 + -7p

Solving
3 + 6p = -6 + -7p

Solving for variable 'p'.

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

Add '7p' to each side of the equation.
3 + 6p + 7p = -6 + -7p + 7p

Combine like terms: 6p + 7p = 13p
3 + 13p = -6 + -7p + 7p

Combine like terms: -7p + 7p = 0
3 + 13p = -6 + 0
3 + 13p = -6

Add '-3' to each side of the equation.
3 + -3 + 13p = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 13p = -6 + -3
13p = -6 + -3

Combine like terms: -6 + -3 = -9
13p = -9

Divide each side by '13'.
p = -0.6923076923

Simplifying
p = -0.6923076923