6(-4p-7)=-5(2p-6)+4p

Solution for 6(-4p-7)=-5(2p-6)+4p equation:

Simplifying
6(-4p + -7) = -5(2p + -6) + 4p

Reorder the terms:
6(-7 + -4p) = -5(2p + -6) + 4p
(-7 * 6 + -4p * 6) = -5(2p + -6) + 4p
(-42 + -24p) = -5(2p + -6) + 4p

Reorder the terms:
-42 + -24p = -5(-6 + 2p) + 4p
-42 + -24p = (-6 * -5 + 2p * -5) + 4p
-42 + -24p = (30 + -10p) + 4p

Combine like terms: -10p + 4p = -6p
-42 + -24p = 30 + -6p

Solving
-42 + -24p = 30 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
-42 + -24p + 6p = 30 + -6p + 6p

Combine like terms: -24p + 6p = -18p
-42 + -18p = 30 + -6p + 6p

Combine like terms: -6p + 6p = 0
-42 + -18p = 30 + 0
-42 + -18p = 30

Add '42' to each side of the equation.
-42 + 42 + -18p = 30 + 42

Combine like terms: -42 + 42 = 0
0 + -18p = 30 + 42
-18p = 30 + 42

Combine like terms: 30 + 42 = 72
-18p = 72

Divide each side by '-18'.
p = -4

Simplifying
p = -4