-6(1-4p)+9=-3-7(-5p+7)

Solution for -6(1-4p)+9=-3-7(-5p+7) equation:

Simplifying
-6(1 + -4p) + 9 = -3 + -7(-5p + 7)
(1 * -6 + -4p * -6) + 9 = -3 + -7(-5p + 7)
(-6 + 24p) + 9 = -3 + -7(-5p + 7)

Reorder the terms:
-6 + 9 + 24p = -3 + -7(-5p + 7)

Combine like terms: -6 + 9 = 3
3 + 24p = -3 + -7(-5p + 7)

Reorder the terms:
3 + 24p = -3 + -7(7 + -5p)
3 + 24p = -3 + (7 * -7 + -5p * -7)
3 + 24p = -3 + (-49 + 35p)

Combine like terms: -3 + -49 = -52
3 + 24p = -52 + 35p

Solving
3 + 24p = -52 + 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.
3 + 24p + -35p = -52 + 35p + -35p

Combine like terms: 24p + -35p = -11p
3 + -11p = -52 + 35p + -35p

Combine like terms: 35p + -35p = 0
3 + -11p = -52 + 0
3 + -11p = -52

Add '-3' to each side of the equation.
3 + -3 + -11p = -52 + -3

Combine like terms: 3 + -3 = 0
0 + -11p = -52 + -3
-11p = -52 + -3

Combine like terms: -52 + -3 = -55
-11p = -55

Divide each side by '-11'.
p = 5

Simplifying
p = 5