31-7p=3(p+7)

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Solution for 31-7p=3(p+7) equation:


Simplifying
31 + -7p = 3(p + 7)

Reorder the terms:
31 + -7p = 3(7 + p)
31 + -7p = (7 * 3 + p * 3)
31 + -7p = (21 + 3p)

Solving
31 + -7p = 21 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
31 + -7p + -3p = 21 + 3p + -3p

Combine like terms: -7p + -3p = -10p
31 + -10p = 21 + 3p + -3p

Combine like terms: 3p + -3p = 0
31 + -10p = 21 + 0
31 + -10p = 21

Add '-31' to each side of the equation.
31 + -31 + -10p = 21 + -31

Combine like terms: 31 + -31 = 0
0 + -10p = 21 + -31
-10p = 21 + -31

Combine like terms: 21 + -31 = -10
-10p = -10

Divide each side by '-10'.
p = 1

Simplifying
p = 1

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