-3p-7(-6+5p)=-6p-6(-3+4p)

Solution for -3p-7(-6+5p)=-6p-6(-3+4p) equation:

Simplifying
-3p + -7(-6 + 5p) = -6p + -6(-3 + 4p)
-3p + (-6 * -7 + 5p * -7) = -6p + -6(-3 + 4p)
-3p + (42 + -35p) = -6p + -6(-3 + 4p)

Reorder the terms:
42 + -3p + -35p = -6p + -6(-3 + 4p)

Combine like terms: -3p + -35p = -38p
42 + -38p = -6p + -6(-3 + 4p)
42 + -38p = -6p + (-3 * -6 + 4p * -6)
42 + -38p = -6p + (18 + -24p)

Reorder the terms:
42 + -38p = 18 + -6p + -24p

Combine like terms: -6p + -24p = -30p
42 + -38p = 18 + -30p

Solving
42 + -38p = 18 + -30p

Solving for variable 'p'.

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

Add '30p' to each side of the equation.
42 + -38p + 30p = 18 + -30p + 30p

Combine like terms: -38p + 30p = -8p
42 + -8p = 18 + -30p + 30p

Combine like terms: -30p + 30p = 0
42 + -8p = 18 + 0
42 + -8p = 18

Add '-42' to each side of the equation.
42 + -42 + -8p = 18 + -42

Combine like terms: 42 + -42 = 0
0 + -8p = 18 + -42
-8p = 18 + -42

Combine like terms: 18 + -42 = -24
-8p = -24

Divide each side by '-8'.
p = 3

Simplifying
p = 3