5=7(p-6)-2

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Solution for 5=7(p-6)-2 equation: 


Simplifying
5 = 7(p + -6) + -2

Reorder the terms:
5 = 7(-6 + p) + -2
5 = (-6 * 7 + p * 7) + -2
5 = (-42 + 7p) + -2

Reorder the terms:
5 = -42 + -2 + 7p

Combine like terms: -42 + -2 = -44
5 = -44 + 7p

Solving
5 = -44 + 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.
5 + -7p = -44 + 7p + -7p

Combine like terms: 7p + -7p = 0
5 + -7p = -44 + 0
5 + -7p = -44

Add '-5' to each side of the equation.
5 + -5 + -7p = -44 + -5

Combine like terms: 5 + -5 = 0
0 + -7p = -44 + -5
-7p = -44 + -5

Combine like terms: -44 + -5 = -49
-7p = -49

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

Simplifying
p = 7

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