(2p+21)=(6p-15)

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Solution for (2p+21)=(6p-15) equation:


Simplifying
(2p + 21) = (6p + -15)

Reorder the terms:
(21 + 2p) = (6p + -15)

Remove parenthesis around (21 + 2p)
21 + 2p = (6p + -15)

Reorder the terms:
21 + 2p = (-15 + 6p)

Remove parenthesis around (-15 + 6p)
21 + 2p = -15 + 6p

Solving
21 + 2p = -15 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
21 + 2p + -6p = -15 + 6p + -6p

Combine like terms: 2p + -6p = -4p
21 + -4p = -15 + 6p + -6p

Combine like terms: 6p + -6p = 0
21 + -4p = -15 + 0
21 + -4p = -15

Add '-21' to each side of the equation.
21 + -21 + -4p = -15 + -21

Combine like terms: 21 + -21 = 0
0 + -4p = -15 + -21
-4p = -15 + -21

Combine like terms: -15 + -21 = -36
-4p = -36

Divide each side by '-4'.
p = 9

Simplifying
p = 9

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