2(p-2)-16=5p-9

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Solution for 2(p-2)-16=5p-9 equation:


Simplifying
2(p + -2) + -16 = 5p + -9

Reorder the terms:
2(-2 + p) + -16 = 5p + -9
(-2 * 2 + p * 2) + -16 = 5p + -9
(-4 + 2p) + -16 = 5p + -9

Reorder the terms:
-4 + -16 + 2p = 5p + -9

Combine like terms: -4 + -16 = -20
-20 + 2p = 5p + -9

Reorder the terms:
-20 + 2p = -9 + 5p

Solving
-20 + 2p = -9 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-20 + 2p + -5p = -9 + 5p + -5p

Combine like terms: 2p + -5p = -3p
-20 + -3p = -9 + 5p + -5p

Combine like terms: 5p + -5p = 0
-20 + -3p = -9 + 0
-20 + -3p = -9

Add '20' to each side of the equation.
-20 + 20 + -3p = -9 + 20

Combine like terms: -20 + 20 = 0
0 + -3p = -9 + 20
-3p = -9 + 20

Combine like terms: -9 + 20 = 11
-3p = 11

Divide each side by '-3'.
p = -3.666666667

Simplifying
p = -3.666666667

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