54+5p-9+3p=29-12+19p-4p

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Solution for 54+5p-9+3p=29-12+19p-4p equation: 


Simplifying
54 + 5p + -9 + 3p = 29 + -12 + 19p + -4p

Reorder the terms:
54 + -9 + 5p + 3p = 29 + -12 + 19p + -4p

Combine like terms: 54 + -9 = 45
45 + 5p + 3p = 29 + -12 + 19p + -4p

Combine like terms: 5p + 3p = 8p
45 + 8p = 29 + -12 + 19p + -4p

Combine like terms: 29 + -12 = 17
45 + 8p = 17 + 19p + -4p

Combine like terms: 19p + -4p = 15p
45 + 8p = 17 + 15p

Solving
45 + 8p = 17 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
45 + 8p + -15p = 17 + 15p + -15p

Combine like terms: 8p + -15p = -7p
45 + -7p = 17 + 15p + -15p

Combine like terms: 15p + -15p = 0
45 + -7p = 17 + 0
45 + -7p = 17

Add '-45' to each side of the equation.
45 + -45 + -7p = 17 + -45

Combine like terms: 45 + -45 = 0
0 + -7p = 17 + -45
-7p = 17 + -45

Combine like terms: 17 + -45 = -28
-7p = -28

Divide each side by '-7'.
p = 4

Simplifying
p = 4

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