10.1+0.5p=0.9p+5.3

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Solution for 10.1+0.5p=0.9p+5.3 equation: 


Simplifying
10.1 + 0.5p = 0.9p + 5.3

Reorder the terms:
10.1 + 0.5p = 5.3 + 0.9p

Solving
10.1 + 0.5p = 5.3 + 0.9p

Solving for variable 'p'.

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

Add '-0.9p' to each side of the equation.
10.1 + 0.5p + -0.9p = 5.3 + 0.9p + -0.9p

Combine like terms: 0.5p + -0.9p = -0.4p
10.1 + -0.4p = 5.3 + 0.9p + -0.9p

Combine like terms: 0.9p + -0.9p = 0.0
10.1 + -0.4p = 5.3 + 0.0
10.1 + -0.4p = 5.3

Add '-10.1' to each side of the equation.
10.1 + -10.1 + -0.4p = 5.3 + -10.1

Combine like terms: 10.1 + -10.1 = 0.0
0.0 + -0.4p = 5.3 + -10.1
-0.4p = 5.3 + -10.1

Combine like terms: 5.3 + -10.1 = -4.8
-0.4p = -4.8

Divide each side by '-0.4'.
p = 12

Simplifying
p = 12

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