7-(5-p)=2(5p-16)

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Solution for 7-(5-p)=2(5p-16) equation:


Simplifying
7 + -1(5 + -1p) = 2(5p + -16)
7 + (5 * -1 + -1p * -1) = 2(5p + -16)
7 + (-5 + 1p) = 2(5p + -16)

Combine like terms: 7 + -5 = 2
2 + 1p = 2(5p + -16)

Reorder the terms:
2 + 1p = 2(-16 + 5p)
2 + 1p = (-16 * 2 + 5p * 2)
2 + 1p = (-32 + 10p)

Solving
2 + 1p = -32 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
2 + 1p + -10p = -32 + 10p + -10p

Combine like terms: 1p + -10p = -9p
2 + -9p = -32 + 10p + -10p

Combine like terms: 10p + -10p = 0
2 + -9p = -32 + 0
2 + -9p = -32

Add '-2' to each side of the equation.
2 + -2 + -9p = -32 + -2

Combine like terms: 2 + -2 = 0
0 + -9p = -32 + -2
-9p = -32 + -2

Combine like terms: -32 + -2 = -34
-9p = -34

Divide each side by '-9'.
p = 3.777777778

Simplifying
p = 3.777777778

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