9p+6(-9p+12)=-9(1+6p)

Solution for 9p+6(-9p+12)=-9(1+6p) equation:

Simplifying
9p + 6(-9p + 12) = -9(1 + 6p)

Reorder the terms:
9p + 6(12 + -9p) = -9(1 + 6p)
9p + (12 * 6 + -9p * 6) = -9(1 + 6p)
9p + (72 + -54p) = -9(1 + 6p)

Reorder the terms:
72 + 9p + -54p = -9(1 + 6p)

Combine like terms: 9p + -54p = -45p
72 + -45p = -9(1 + 6p)
72 + -45p = (1 * -9 + 6p * -9)
72 + -45p = (-9 + -54p)

Solving
72 + -45p = -9 + -54p

Solving for variable 'p'.

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

Add '54p' to each side of the equation.
72 + -45p + 54p = -9 + -54p + 54p

Combine like terms: -45p + 54p = 9p
72 + 9p = -9 + -54p + 54p

Combine like terms: -54p + 54p = 0
72 + 9p = -9 + 0
72 + 9p = -9

Add '-72' to each side of the equation.
72 + -72 + 9p = -9 + -72

Combine like terms: 72 + -72 = 0
0 + 9p = -9 + -72
9p = -9 + -72

Combine like terms: -9 + -72 = -81
9p = -81

Divide each side by '9'.
p = -9

Simplifying
p = -9