4.15p+.25p-6.5=.1p+5.65+4.2

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Solution for 4.15p+.25p-6.5=.1p+5.65+4.2 equation: 


Simplifying
4.15p + 0.25p + -6.5 = 0.1p + 5.65 + 4.2

Reorder the terms:
-6.5 + 4.15p + 0.25p = 0.1p + 5.65 + 4.2

Combine like terms: 4.15p + 0.25p = 4.4p
-6.5 + 4.4p = 0.1p + 5.65 + 4.2

Reorder the terms:
-6.5 + 4.4p = 5.65 + 4.2 + 0.1p

Combine like terms: 5.65 + 4.2 = 9.85
-6.5 + 4.4p = 9.85 + 0.1p

Solving
-6.5 + 4.4p = 9.85 + 0.1p

Solving for variable 'p'.

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

Add '-0.1p' to each side of the equation.
-6.5 + 4.4p + -0.1p = 9.85 + 0.1p + -0.1p

Combine like terms: 4.4p + -0.1p = 4.3p
-6.5 + 4.3p = 9.85 + 0.1p + -0.1p

Combine like terms: 0.1p + -0.1p = 0.0
-6.5 + 4.3p = 9.85 + 0.0
-6.5 + 4.3p = 9.85

Add '6.5' to each side of the equation.
-6.5 + 6.5 + 4.3p = 9.85 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + 4.3p = 9.85 + 6.5
4.3p = 9.85 + 6.5

Combine like terms: 9.85 + 6.5 = 16.35
4.3p = 16.35

Divide each side by '4.3'.
p = 3.802325581

Simplifying
p = 3.802325581

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