2p+9=4(2p+8)+1

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Solution for 2p+9=4(2p+8)+1 equation: 


Simplifying
2p + 9 = 4(2p + 8) + 1

Reorder the terms:
9 + 2p = 4(2p + 8) + 1

Reorder the terms:
9 + 2p = 4(8 + 2p) + 1
9 + 2p = (8 * 4 + 2p * 4) + 1
9 + 2p = (32 + 8p) + 1

Reorder the terms:
9 + 2p = 32 + 1 + 8p

Combine like terms: 32 + 1 = 33
9 + 2p = 33 + 8p

Solving
9 + 2p = 33 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
9 + 2p + -8p = 33 + 8p + -8p

Combine like terms: 2p + -8p = -6p
9 + -6p = 33 + 8p + -8p

Combine like terms: 8p + -8p = 0
9 + -6p = 33 + 0
9 + -6p = 33

Add '-9' to each side of the equation.
9 + -9 + -6p = 33 + -9

Combine like terms: 9 + -9 = 0
0 + -6p = 33 + -9
-6p = 33 + -9

Combine like terms: 33 + -9 = 24
-6p = 24

Divide each side by '-6'.
p = -4

Simplifying
p = -4

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