20=6(6+8p)+8(-4p+8)

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Solution for 20=6(6+8p)+8(-4p+8) equation: 


Simplifying
20 = 6(6 + 8p) + 8(-4p + 8)
20 = (6 * 6 + 8p * 6) + 8(-4p + 8)
20 = (36 + 48p) + 8(-4p + 8)

Reorder the terms:
20 = 36 + 48p + 8(8 + -4p)
20 = 36 + 48p + (8 * 8 + -4p * 8)
20 = 36 + 48p + (64 + -32p)

Reorder the terms:
20 = 36 + 64 + 48p + -32p

Combine like terms: 36 + 64 = 100
20 = 100 + 48p + -32p

Combine like terms: 48p + -32p = 16p
20 = 100 + 16p

Solving
20 = 100 + 16p

Solving for variable 'p'.

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

Add '-16p' to each side of the equation.
20 + -16p = 100 + 16p + -16p

Combine like terms: 16p + -16p = 0
20 + -16p = 100 + 0
20 + -16p = 100

Add '-20' to each side of the equation.
20 + -20 + -16p = 100 + -20

Combine like terms: 20 + -20 = 0
0 + -16p = 100 + -20
-16p = 100 + -20

Combine like terms: 100 + -20 = 80
-16p = 80

Divide each side by '-16'.
p = -5

Simplifying
p = -5

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