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

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

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

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

Combine like terms: 42p + -7p = 35p
6 + 5p = -24 + 35p

Solving
6 + 5p = -24 + 35p

Solving for variable 'p'.

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

Add '-35p' to each side of the equation.
6 + 5p + -35p = -24 + 35p + -35p

Combine like terms: 5p + -35p = -30p
6 + -30p = -24 + 35p + -35p

Combine like terms: 35p + -35p = 0
6 + -30p = -24 + 0
6 + -30p = -24

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

Combine like terms: 6 + -6 = 0
0 + -30p = -24 + -6
-30p = -24 + -6

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

Divide each side by '-30'.
p = 1

Simplifying
p = 1