16=5p+(40-9p)

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Solution for 16=5p+(40-9p) equation:


Simplifying
16 = 5p + (40 + -9p)

Remove parenthesis around (40 + -9p)
16 = 5p + 40 + -9p

Reorder the terms:
16 = 40 + 5p + -9p

Combine like terms: 5p + -9p = -4p
16 = 40 + -4p

Solving
16 = 40 + -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 + 4p = 40 + -4p + 4p

Combine like terms: -4p + 4p = 0
16 + 4p = 40 + 0
16 + 4p = 40

Add '-16' to each side of the equation.
16 + -16 + 4p = 40 + -16

Combine like terms: 16 + -16 = 0
0 + 4p = 40 + -16
4p = 40 + -16

Combine like terms: 40 + -16 = 24
4p = 24

Divide each side by '4'.
p = 6

Simplifying
p = 6

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