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

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

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

Reorder the terms:
-6(-7 + 2p) = p + -2(p + 1)
(-7 * -6 + 2p * -6) = p + -2(p + 1)
(42 + -12p) = p + -2(p + 1)

Reorder the terms:
42 + -12p = p + -2(1 + p)
42 + -12p = p + (1 * -2 + p * -2)
42 + -12p = p + (-2 + -2p)

Reorder the terms:
42 + -12p = -2 + p + -2p

Combine like terms: p + -2p = -1p
42 + -12p = -2 + -1p

Solving
42 + -12p = -2 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
42 + -12p + p = -2 + -1p + p

Combine like terms: -12p + p = -11p
42 + -11p = -2 + -1p + p

Combine like terms: -1p + p = 0
42 + -11p = -2 + 0
42 + -11p = -2

Add '-42' to each side of the equation.
42 + -42 + -11p = -2 + -42

Combine like terms: 42 + -42 = 0
0 + -11p = -2 + -42
-11p = -2 + -42

Combine like terms: -2 + -42 = -44
-11p = -44

Divide each side by '-11'.
p = 4

Simplifying
p = 4