(2(p-4)-5)=23

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Solution for (2(p-4)-5)=23 equation:


Simplifying
(2(p + -4) + -5) = 23

Reorder the terms:
(2(-4 + p) + -5) = 23
((-4 * 2 + p * 2) + -5) = 23
((-8 + 2p) + -5) = 23

Reorder the terms:
(-8 + -5 + 2p) = 23

Combine like terms: -8 + -5 = -13
(-13 + 2p) = 23

Remove parenthesis around (-13 + 2p)
-13 + 2p = 23

Solving
-13 + 2p = 23

Solving for variable 'p'.

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

Add '13' to each side of the equation.
-13 + 13 + 2p = 23 + 13

Combine like terms: -13 + 13 = 0
0 + 2p = 23 + 13
2p = 23 + 13

Combine like terms: 23 + 13 = 36
2p = 36

Divide each side by '2'.
p = 18

Simplifying
p = 18

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