0.33(p+1)=0.5(p-2)

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Solution for 0.33(p+1)=0.5(p-2) equation: 


Simplifying
0.33(p + 1) = 0.5(p + -2)

Reorder the terms:
0.33(1 + p) = 0.5(p + -2)
(1 * 0.33 + p * 0.33) = 0.5(p + -2)
(0.33 + 0.33p) = 0.5(p + -2)

Reorder the terms:
0.33 + 0.33p = 0.5(-2 + p)
0.33 + 0.33p = (-2 * 0.5 + p * 0.5)
0.33 + 0.33p = (-1 + 0.5p)

Solving
0.33 + 0.33p = -1 + 0.5p

Solving for variable 'p'.

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

Add '-0.5p' to each side of the equation.
0.33 + 0.33p + -0.5p = -1 + 0.5p + -0.5p

Combine like terms: 0.33p + -0.5p = -0.17p
0.33 + -0.17p = -1 + 0.5p + -0.5p

Combine like terms: 0.5p + -0.5p = 0.0
0.33 + -0.17p = -1 + 0.0
0.33 + -0.17p = -1

Add '-0.33' to each side of the equation.
0.33 + -0.33 + -0.17p = -1 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + -0.17p = -1 + -0.33
-0.17p = -1 + -0.33

Combine like terms: -1 + -0.33 = -1.33
-0.17p = -1.33

Divide each side by '-0.17'.
p = 7.823529412

Simplifying
p = 7.823529412

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