8(p-2)=5(p+4)-p

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Solution for 8(p-2)=5(p+4)-p equation:


Simplifying
8(p + -2) = 5(p + 4) + -1p

Reorder the terms:
8(-2 + p) = 5(p + 4) + -1p
(-2 * 8 + p * 8) = 5(p + 4) + -1p
(-16 + 8p) = 5(p + 4) + -1p

Reorder the terms:
-16 + 8p = 5(4 + p) + -1p
-16 + 8p = (4 * 5 + p * 5) + -1p
-16 + 8p = (20 + 5p) + -1p

Combine like terms: 5p + -1p = 4p
-16 + 8p = 20 + 4p

Solving
-16 + 8p = 20 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-16 + 8p + -4p = 20 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-16 + 4p = 20 + 4p + -4p

Combine like terms: 4p + -4p = 0
-16 + 4p = 20 + 0
-16 + 4p = 20

Add '16' to each side of the equation.
-16 + 16 + 4p = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 4p = 20 + 16
4p = 20 + 16

Combine like terms: 20 + 16 = 36
4p = 36

Divide each side by '4'.
p = 9

Simplifying
p = 9

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