0.25(3p+1)=0.33(5p-2)

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Solution for 0.25(3p+1)=0.33(5p-2) equation: 


Simplifying
0.25(3p + 1) = 0.33(5p + -2)

Reorder the terms:
0.25(1 + 3p) = 0.33(5p + -2)
(1 * 0.25 + 3p * 0.25) = 0.33(5p + -2)
(0.25 + 0.75p) = 0.33(5p + -2)

Reorder the terms:
0.25 + 0.75p = 0.33(-2 + 5p)
0.25 + 0.75p = (-2 * 0.33 + 5p * 0.33)
0.25 + 0.75p = (-0.66 + 1.65p)

Solving
0.25 + 0.75p = -0.66 + 1.65p

Solving for variable 'p'.

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

Add '-1.65p' to each side of the equation.
0.25 + 0.75p + -1.65p = -0.66 + 1.65p + -1.65p

Combine like terms: 0.75p + -1.65p = -0.9p
0.25 + -0.9p = -0.66 + 1.65p + -1.65p

Combine like terms: 1.65p + -1.65p = 0.00
0.25 + -0.9p = -0.66 + 0.00
0.25 + -0.9p = -0.66

Add '-0.25' to each side of the equation.
0.25 + -0.25 + -0.9p = -0.66 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.9p = -0.66 + -0.25
-0.9p = -0.66 + -0.25

Combine like terms: -0.66 + -0.25 = -0.91
-0.9p = -0.91

Divide each side by '-0.9'.
p = 1.011111111

Simplifying
p = 1.011111111

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