3+4(p+2)=2p+3(2p-5)

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Solution for 3+4(p+2)=2p+3(2p-5) equation: 


Simplifying
3 + 4(p + 2) = 2p + 3(2p + -5)

Reorder the terms:
3 + 4(2 + p) = 2p + 3(2p + -5)
3 + (2 * 4 + p * 4) = 2p + 3(2p + -5)
3 + (8 + 4p) = 2p + 3(2p + -5)

Combine like terms: 3 + 8 = 11
11 + 4p = 2p + 3(2p + -5)

Reorder the terms:
11 + 4p = 2p + 3(-5 + 2p)
11 + 4p = 2p + (-5 * 3 + 2p * 3)
11 + 4p = 2p + (-15 + 6p)

Reorder the terms:
11 + 4p = -15 + 2p + 6p

Combine like terms: 2p + 6p = 8p
11 + 4p = -15 + 8p

Solving
11 + 4p = -15 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
11 + 4p + -8p = -15 + 8p + -8p

Combine like terms: 4p + -8p = -4p
11 + -4p = -15 + 8p + -8p

Combine like terms: 8p + -8p = 0
11 + -4p = -15 + 0
11 + -4p = -15

Add '-11' to each side of the equation.
11 + -11 + -4p = -15 + -11

Combine like terms: 11 + -11 = 0
0 + -4p = -15 + -11
-4p = -15 + -11

Combine like terms: -15 + -11 = -26
-4p = -26

Divide each side by '-4'.
p = 6.5

Simplifying
p = 6.5

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