4(2p-5)+3(6+3p)=100

Solution for 4(2p-5)+3(6+3p)=100 equation:

Simplifying
4(2p + -5) + 3(6 + 3p) = 100

Reorder the terms:
4(-5 + 2p) + 3(6 + 3p) = 100
(-5 * 4 + 2p * 4) + 3(6 + 3p) = 100
(-20 + 8p) + 3(6 + 3p) = 100
-20 + 8p + (6 * 3 + 3p * 3) = 100
-20 + 8p + (18 + 9p) = 100

Reorder the terms:
-20 + 18 + 8p + 9p = 100

Combine like terms: -20 + 18 = -2
-2 + 8p + 9p = 100

Combine like terms: 8p + 9p = 17p
-2 + 17p = 100

Solving
-2 + 17p = 100

Solving for variable 'p'.

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

Add '2' to each side of the equation.
-2 + 2 + 17p = 100 + 2

Combine like terms: -2 + 2 = 0
0 + 17p = 100 + 2
17p = 100 + 2

Combine like terms: 100 + 2 = 102
17p = 102

Divide each side by '17'.
p = 6

Simplifying
p = 6