400=2.5(p-40)-100

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Solution for 400=2.5(p-40)-100 equation: 


Simplifying
400 = 2.5(p + -40) + -100

Reorder the terms:
400 = 2.5(-40 + p) + -100
400 = (-40 * 2.5 + p * 2.5) + -100
400 = (-100 + 2.5p) + -100

Reorder the terms:
400 = -100 + -100 + 2.5p

Combine like terms: -100 + -100 = -200
400 = -200 + 2.5p

Solving
400 = -200 + 2.5p

Solving for variable 'p'.

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

Add '-2.5p' to each side of the equation.
400 + -2.5p = -200 + 2.5p + -2.5p

Combine like terms: 2.5p + -2.5p = 0.0
400 + -2.5p = -200 + 0.0
400 + -2.5p = -200

Add '-400' to each side of the equation.
400 + -400 + -2.5p = -200 + -400

Combine like terms: 400 + -400 = 0
0 + -2.5p = -200 + -400
-2.5p = -200 + -400

Combine like terms: -200 + -400 = -600
-2.5p = -600

Divide each side by '-2.5'.
p = 240

Simplifying
p = 240

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