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

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


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

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

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

Combine like terms: -4 + 16 = 12
12 + 4p = 5p + -9

Reorder the terms:
12 + 4p = -9 + 5p

Solving
12 + 4p = -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.
12 + 4p + -5p = -9 + 5p + -5p

Combine like terms: 4p + -5p = -1p
12 + -1p = -9 + 5p + -5p

Combine like terms: 5p + -5p = 0
12 + -1p = -9 + 0
12 + -1p = -9

Add '-12' to each side of the equation.
12 + -12 + -1p = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -1p = -9 + -12
-1p = -9 + -12

Combine like terms: -9 + -12 = -21
-1p = -21

Divide each side by '-1'.
p = 21

Simplifying
p = 21

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