8p-(4p+6)=46

Solution for 8p-(4p+6)=46 equation:

Simplifying
8p + -1(4p + 6) = 46

Reorder the terms:
8p + -1(6 + 4p) = 46
8p + (6 * -1 + 4p * -1) = 46
8p + (-6 + -4p) = 46

Reorder the terms:
-6 + 8p + -4p = 46

Combine like terms: 8p + -4p = 4p
-6 + 4p = 46

Solving
-6 + 4p = 46

Solving for variable 'p'.

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

Add '6' to each side of the equation.
-6 + 6 + 4p = 46 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = 46 + 6
4p = 46 + 6

Combine like terms: 46 + 6 = 52
4p = 52

Divide each side by '4'.
p = 13

Simplifying
p = 13