2.5p+9=7.5p-21

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Solution for 2.5p+9=7.5p-21 equation: 


Simplifying
2.5p + 9 = 7.5p + -21

Reorder the terms:
9 + 2.5p = 7.5p + -21

Reorder the terms:
9 + 2.5p = -21 + 7.5p

Solving
9 + 2.5p = -21 + 7.5p

Solving for variable 'p'.

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

Add '-7.5p' to each side of the equation.
9 + 2.5p + -7.5p = -21 + 7.5p + -7.5p

Combine like terms: 2.5p + -7.5p = -5p
9 + -5p = -21 + 7.5p + -7.5p

Combine like terms: 7.5p + -7.5p = 0.0
9 + -5p = -21 + 0.0
9 + -5p = -21

Add '-9' to each side of the equation.
9 + -9 + -5p = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -5p = -21 + -9
-5p = -21 + -9

Combine like terms: -21 + -9 = -30
-5p = -30

Divide each side by '-5'.
p = 6

Simplifying
p = 6

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