21.25=0.25p+1.5(20-p)

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Solution for 21.25=0.25p+1.5(20-p) equation: 


Simplifying
21.25 = 0.25p + 1.5(20 + -1p)
21.25 = 0.25p + (20 * 1.5 + -1p * 1.5)
21.25 = 0.25p + (30 + -1.5p)

Reorder the terms:
21.25 = 30 + 0.25p + -1.5p

Combine like terms: 0.25p + -1.5p = -1.25p
21.25 = 30 + -1.25p

Solving
21.25 = 30 + -1.25p

Solving for variable 'p'.

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

Add '1.25p' to each side of the equation.
21.25 + 1.25p = 30 + -1.25p + 1.25p

Combine like terms: -1.25p + 1.25p = 0.00
21.25 + 1.25p = 30 + 0.00
21.25 + 1.25p = 30

Add '-21.25' to each side of the equation.
21.25 + -21.25 + 1.25p = 30 + -21.25

Combine like terms: 21.25 + -21.25 = 0.00
0.00 + 1.25p = 30 + -21.25
1.25p = 30 + -21.25

Combine like terms: 30 + -21.25 = 8.75
1.25p = 8.75

Divide each side by '1.25'.
p = 7

Simplifying
p = 7

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