.25p+.5(1600-p)=.15(1600)

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Solution for .25p+.5(1600-p)=.15(1600) equation:


Simplifying
0.25p + 0.5(1600 + -1p) = 0.15(1600)
0.25p + (1600 * 0.5 + -1p * 0.5) = 0.15(1600)
0.25p + (800 + -0.5p) = 0.15(1600)

Reorder the terms:
800 + 0.25p + -0.5p = 0.15(1600)

Combine like terms: 0.25p + -0.5p = -0.25p
800 + -0.25p = 0.15(1600)

Multiply 0.15 * 1600
800 + -0.25p = 240

Solving
800 + -0.25p = 240

Solving for variable 'p'.

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

Add '-800' to each side of the equation.
800 + -800 + -0.25p = 240 + -800

Combine like terms: 800 + -800 = 0
0 + -0.25p = 240 + -800
-0.25p = 240 + -800

Combine like terms: 240 + -800 = -560
-0.25p = -560

Divide each side by '-0.25'.
p = 2240

Simplifying
p = 2240

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