4(p-1)+3(p+2)=-33

Solution for 4(p-1)+3(p+2)=-33 equation:

Simplifying
4(p + -1) + 3(p + 2) = -33

Reorder the terms:
4(-1 + p) + 3(p + 2) = -33
(-1 * 4 + p * 4) + 3(p + 2) = -33
(-4 + 4p) + 3(p + 2) = -33

Reorder the terms:
-4 + 4p + 3(2 + p) = -33
-4 + 4p + (2 * 3 + p * 3) = -33
-4 + 4p + (6 + 3p) = -33

Reorder the terms:
-4 + 6 + 4p + 3p = -33

Combine like terms: -4 + 6 = 2
2 + 4p + 3p = -33

Combine like terms: 4p + 3p = 7p
2 + 7p = -33

Solving
2 + 7p = -33

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 + 7p = -33 + -2

Combine like terms: 2 + -2 = 0
0 + 7p = -33 + -2
7p = -33 + -2

Combine like terms: -33 + -2 = -35
7p = -35

Divide each side by '7'.
p = -5

Simplifying
p = -5