-4p-6=5(9p-10)+6(-3-8p)

Solution for -4p-6=5(9p-10)+6(-3-8p) equation:

Simplifying
-4p + -6 = 5(9p + -10) + 6(-3 + -8p)

Reorder the terms:
-6 + -4p = 5(9p + -10) + 6(-3 + -8p)

Reorder the terms:
-6 + -4p = 5(-10 + 9p) + 6(-3 + -8p)
-6 + -4p = (-10 * 5 + 9p * 5) + 6(-3 + -8p)
-6 + -4p = (-50 + 45p) + 6(-3 + -8p)
-6 + -4p = -50 + 45p + (-3 * 6 + -8p * 6)
-6 + -4p = -50 + 45p + (-18 + -48p)

Reorder the terms:
-6 + -4p = -50 + -18 + 45p + -48p

Combine like terms: -50 + -18 = -68
-6 + -4p = -68 + 45p + -48p

Combine like terms: 45p + -48p = -3p
-6 + -4p = -68 + -3p

Solving
-6 + -4p = -68 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
-6 + -4p + 3p = -68 + -3p + 3p

Combine like terms: -4p + 3p = -1p
-6 + -1p = -68 + -3p + 3p

Combine like terms: -3p + 3p = 0
-6 + -1p = -68 + 0
-6 + -1p = -68

Add '6' to each side of the equation.
-6 + 6 + -1p = -68 + 6

Combine like terms: -6 + 6 = 0
0 + -1p = -68 + 6
-1p = -68 + 6

Combine like terms: -68 + 6 = -62
-1p = -62

Divide each side by '-1'.
p = 62

Simplifying
p = 62