3q+p+20=3p+q+24

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Solution for 3q+p+20=3p+q+24 equation:


Simplifying
3q + p + 20 = 3p + q + 24

Reorder the terms:
20 + p + 3q = 3p + q + 24

Reorder the terms:
20 + p + 3q = 24 + 3p + q

Solving
20 + p + 3q = 24 + 3p + q

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.
20 + p + -3p + 3q = 24 + 3p + -3p + q

Combine like terms: p + -3p = -2p
20 + -2p + 3q = 24 + 3p + -3p + q

Combine like terms: 3p + -3p = 0
20 + -2p + 3q = 24 + 0 + q
20 + -2p + 3q = 24 + q

Add '-20' to each side of the equation.
20 + -2p + -20 + 3q = 24 + -20 + q

Reorder the terms:
20 + -20 + -2p + 3q = 24 + -20 + q

Combine like terms: 20 + -20 = 0
0 + -2p + 3q = 24 + -20 + q
-2p + 3q = 24 + -20 + q

Combine like terms: 24 + -20 = 4
-2p + 3q = 4 + q

Add '-3q' to each side of the equation.
-2p + 3q + -3q = 4 + q + -3q

Combine like terms: 3q + -3q = 0
-2p + 0 = 4 + q + -3q
-2p = 4 + q + -3q

Combine like terms: q + -3q = -2q
-2p = 4 + -2q

Divide each side by '-2'.
p = -2 + q

Simplifying
p = -2 + q

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