13p-9(3-2p)=3(10p-9)+1

Solution for 13p-9(3-2p)=3(10p-9)+1 equation:

Simplifying
13p + -9(3 + -2p) = 3(10p + -9) + 1
13p + (3 * -9 + -2p * -9) = 3(10p + -9) + 1
13p + (-27 + 18p) = 3(10p + -9) + 1

Reorder the terms:
-27 + 13p + 18p = 3(10p + -9) + 1

Combine like terms: 13p + 18p = 31p
-27 + 31p = 3(10p + -9) + 1

Reorder the terms:
-27 + 31p = 3(-9 + 10p) + 1
-27 + 31p = (-9 * 3 + 10p * 3) + 1
-27 + 31p = (-27 + 30p) + 1

Reorder the terms:
-27 + 31p = -27 + 1 + 30p

Combine like terms: -27 + 1 = -26
-27 + 31p = -26 + 30p

Solving
-27 + 31p = -26 + 30p

Solving for variable 'p'.

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

Add '-30p' to each side of the equation.
-27 + 31p + -30p = -26 + 30p + -30p

Combine like terms: 31p + -30p = 1p
-27 + 1p = -26 + 30p + -30p

Combine like terms: 30p + -30p = 0
-27 + 1p = -26 + 0
-27 + 1p = -26

Add '27' to each side of the equation.
-27 + 27 + 1p = -26 + 27

Combine like terms: -27 + 27 = 0
0 + 1p = -26 + 27
1p = -26 + 27

Combine like terms: -26 + 27 = 1
1p = 1

Divide each side by '1'.
p = 1

Simplifying
p = 1