16=5(p-6)-(p+2)

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Solution for 16=5(p-6)-(p+2) equation: 


Simplifying
16 = 5(p + -6) + -1(p + 2)

Reorder the terms:
16 = 5(-6 + p) + -1(p + 2)
16 = (-6 * 5 + p * 5) + -1(p + 2)
16 = (-30 + 5p) + -1(p + 2)

Reorder the terms:
16 = -30 + 5p + -1(2 + p)
16 = -30 + 5p + (2 * -1 + p * -1)
16 = -30 + 5p + (-2 + -1p)

Reorder the terms:
16 = -30 + -2 + 5p + -1p

Combine like terms: -30 + -2 = -32
16 = -32 + 5p + -1p

Combine like terms: 5p + -1p = 4p
16 = -32 + 4p

Solving
16 = -32 + 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 = -32 + 4p + -4p

Combine like terms: 4p + -4p = 0
16 + -4p = -32 + 0
16 + -4p = -32

Add '-16' to each side of the equation.
16 + -16 + -4p = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -4p = -32 + -16
-4p = -32 + -16

Combine like terms: -32 + -16 = -48
-4p = -48

Divide each side by '-4'.
p = 12

Simplifying
p = 12

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