6p-3(4-5p)=30

Solution for 6p-3(4-5p)=30 equation:

Simplifying
6p + -3(4 + -5p) = 30
6p + (4 * -3 + -5p * -3) = 30
6p + (-12 + 15p) = 30

Reorder the terms:
-12 + 6p + 15p = 30

Combine like terms: 6p + 15p = 21p
-12 + 21p = 30

Solving
-12 + 21p = 30

Solving for variable 'p'.

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

Add '12' to each side of the equation.
-12 + 12 + 21p = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 21p = 30 + 12
21p = 30 + 12

Combine like terms: 30 + 12 = 42
21p = 42

Divide each side by '21'.
p = 2

Simplifying
p = 2