7p-1=(p-2)+13

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Solution for 7p-1=(p-2)+13 equation:


Simplifying
7p + -1 = (p + -2) + 13

Reorder the terms:
-1 + 7p = (p + -2) + 13

Reorder the terms:
-1 + 7p = (-2 + p) + 13

Remove parenthesis around (-2 + p)
-1 + 7p = -2 + p + 13

Reorder the terms:
-1 + 7p = -2 + 13 + p

Combine like terms: -2 + 13 = 11
-1 + 7p = 11 + p

Solving
-1 + 7p = 11 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-1 + 7p + -1p = 11 + p + -1p

Combine like terms: 7p + -1p = 6p
-1 + 6p = 11 + p + -1p

Combine like terms: p + -1p = 0
-1 + 6p = 11 + 0
-1 + 6p = 11

Add '1' to each side of the equation.
-1 + 1 + 6p = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 6p = 11 + 1
6p = 11 + 1

Combine like terms: 11 + 1 = 12
6p = 12

Divide each side by '6'.
p = 2

Simplifying
p = 2

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