3(2p-1)=4(p+6)

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Solution for 3(2p-1)=4(p+6) equation:


Simplifying
3(2p + -1) = 4(p + 6)

Reorder the terms:
3(-1 + 2p) = 4(p + 6)
(-1 * 3 + 2p * 3) = 4(p + 6)
(-3 + 6p) = 4(p + 6)

Reorder the terms:
-3 + 6p = 4(6 + p)
-3 + 6p = (6 * 4 + p * 4)
-3 + 6p = (24 + 4p)

Solving
-3 + 6p = 24 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-3 + 6p + -4p = 24 + 4p + -4p

Combine like terms: 6p + -4p = 2p
-3 + 2p = 24 + 4p + -4p

Combine like terms: 4p + -4p = 0
-3 + 2p = 24 + 0
-3 + 2p = 24

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

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

Combine like terms: 24 + 3 = 27
2p = 27

Divide each side by '2'.
p = 13.5

Simplifying
p = 13.5

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