5(6-p)+1=p+1

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Solution for 5(6-p)+1=p+1 equation:


Simplifying
5(6 + -1p) + 1 = p + 1
(6 * 5 + -1p * 5) + 1 = p + 1
(30 + -5p) + 1 = p + 1

Reorder the terms:
30 + 1 + -5p = p + 1

Combine like terms: 30 + 1 = 31
31 + -5p = p + 1

Reorder the terms:
31 + -5p = 1 + p

Solving
31 + -5p = 1 + 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.
31 + -5p + -1p = 1 + p + -1p

Combine like terms: -5p + -1p = -6p
31 + -6p = 1 + p + -1p

Combine like terms: p + -1p = 0
31 + -6p = 1 + 0
31 + -6p = 1

Add '-31' to each side of the equation.
31 + -31 + -6p = 1 + -31

Combine like terms: 31 + -31 = 0
0 + -6p = 1 + -31
-6p = 1 + -31

Combine like terms: 1 + -31 = -30
-6p = -30

Divide each side by '-6'.
p = 5

Simplifying
p = 5

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