106=-7(p-7)+1

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Solution for 106=-7(p-7)+1 equation: 


Simplifying
106 = -7(p + -7) + 1

Reorder the terms:
106 = -7(-7 + p) + 1
106 = (-7 * -7 + p * -7) + 1
106 = (49 + -7p) + 1

Reorder the terms:
106 = 49 + 1 + -7p

Combine like terms: 49 + 1 = 50
106 = 50 + -7p

Solving
106 = 50 + -7p

Solving for variable 'p'.

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

Add '7p' to each side of the equation.
106 + 7p = 50 + -7p + 7p

Combine like terms: -7p + 7p = 0
106 + 7p = 50 + 0
106 + 7p = 50

Add '-106' to each side of the equation.
106 + -106 + 7p = 50 + -106

Combine like terms: 106 + -106 = 0
0 + 7p = 50 + -106
7p = 50 + -106

Combine like terms: 50 + -106 = -56
7p = -56

Divide each side by '7'.
p = -8

Simplifying
p = -8

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