2(-2p+3)-5(p+7)=34

Solution for 2(-2p+3)-5(p+7)=34 equation:

Simplifying
2(-2p + 3) + -5(p + 7) = 34

Reorder the terms:
2(3 + -2p) + -5(p + 7) = 34
(3 * 2 + -2p * 2) + -5(p + 7) = 34
(6 + -4p) + -5(p + 7) = 34

Reorder the terms:
6 + -4p + -5(7 + p) = 34
6 + -4p + (7 * -5 + p * -5) = 34
6 + -4p + (-35 + -5p) = 34

Reorder the terms:
6 + -35 + -4p + -5p = 34

Combine like terms: 6 + -35 = -29
-29 + -4p + -5p = 34

Combine like terms: -4p + -5p = -9p
-29 + -9p = 34

Solving
-29 + -9p = 34

Solving for variable 'p'.

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

Add '29' to each side of the equation.
-29 + 29 + -9p = 34 + 29

Combine like terms: -29 + 29 = 0
0 + -9p = 34 + 29
-9p = 34 + 29

Combine like terms: 34 + 29 = 63
-9p = 63

Divide each side by '-9'.
p = -7

Simplifying
p = -7