10(-p-2)+9(3p-5)=

Solution for 10(-p-2)+9(3p-5)= equation:

Simplifying
10(-1p + -2) + 9(3p + -5) = 0

Reorder the terms:
10(-2 + -1p) + 9(3p + -5) = 0
(-2 * 10 + -1p * 10) + 9(3p + -5) = 0
(-20 + -10p) + 9(3p + -5) = 0

Reorder the terms:
-20 + -10p + 9(-5 + 3p) = 0
-20 + -10p + (-5 * 9 + 3p * 9) = 0
-20 + -10p + (-45 + 27p) = 0

Reorder the terms:
-20 + -45 + -10p + 27p = 0

Combine like terms: -20 + -45 = -65
-65 + -10p + 27p = 0

Combine like terms: -10p + 27p = 17p
-65 + 17p = 0

Solving
-65 + 17p = 0

Solving for variable 'p'.

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

Add '65' to each side of the equation.
-65 + 65 + 17p = 0 + 65

Combine like terms: -65 + 65 = 0
0 + 17p = 0 + 65
17p = 0 + 65

Combine like terms: 0 + 65 = 65
17p = 65

Divide each side by '17'.
p = 3.823529412

Simplifying
p = 3.823529412