10p+27-5p-46=32+3p-19

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Solution for 10p+27-5p-46=32+3p-19 equation:


Simplifying
10p + 27 + -5p + -46 = 32 + 3p + -19

Reorder the terms:
27 + -46 + 10p + -5p = 32 + 3p + -19

Combine like terms: 27 + -46 = -19
-19 + 10p + -5p = 32 + 3p + -19

Combine like terms: 10p + -5p = 5p
-19 + 5p = 32 + 3p + -19

Reorder the terms:
-19 + 5p = 32 + -19 + 3p

Combine like terms: 32 + -19 = 13
-19 + 5p = 13 + 3p

Solving
-19 + 5p = 13 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-19 + 5p + -3p = 13 + 3p + -3p

Combine like terms: 5p + -3p = 2p
-19 + 2p = 13 + 3p + -3p

Combine like terms: 3p + -3p = 0
-19 + 2p = 13 + 0
-19 + 2p = 13

Add '19' to each side of the equation.
-19 + 19 + 2p = 13 + 19

Combine like terms: -19 + 19 = 0
0 + 2p = 13 + 19
2p = 13 + 19

Combine like terms: 13 + 19 = 32
2p = 32

Divide each side by '2'.
p = 16

Simplifying
p = 16

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