6(-7+6p)+5p=6+6(-8+7p)

Solution for 6(-7+6p)+5p=6+6(-8+7p) equation:

Simplifying
6(-7 + 6p) + 5p = 6 + 6(-8 + 7p)
(-7 * 6 + 6p * 6) + 5p = 6 + 6(-8 + 7p)
(-42 + 36p) + 5p = 6 + 6(-8 + 7p)

Combine like terms: 36p + 5p = 41p
-42 + 41p = 6 + 6(-8 + 7p)
-42 + 41p = 6 + (-8 * 6 + 7p * 6)
-42 + 41p = 6 + (-48 + 42p)

Combine like terms: 6 + -48 = -42
-42 + 41p = -42 + 42p

Add '42' to each side of the equation.
-42 + 42 + 41p = -42 + 42 + 42p

Combine like terms: -42 + 42 = 0
0 + 41p = -42 + 42 + 42p
41p = -42 + 42 + 42p

Combine like terms: -42 + 42 = 0
41p = 0 + 42p
41p = 42p

Solving
41p = 42p

Solving for variable 'p'.

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

Add '-42p' to each side of the equation.
41p + -42p = 42p + -42p

Combine like terms: 41p + -42p = -1p
-1p = 42p + -42p

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

Divide each side by '-1'.
p = 0

Simplifying
p = 0