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

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


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

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

Combine like terms: 3 + -2 = 1
1 + -1p = 2p + 3(p + 4)

Reorder the terms:
1 + -1p = 2p + 3(4 + p)
1 + -1p = 2p + (4 * 3 + p * 3)
1 + -1p = 2p + (12 + 3p)

Reorder the terms:
1 + -1p = 12 + 2p + 3p

Combine like terms: 2p + 3p = 5p
1 + -1p = 12 + 5p

Solving
1 + -1p = 12 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
1 + -1p + -5p = 12 + 5p + -5p

Combine like terms: -1p + -5p = -6p
1 + -6p = 12 + 5p + -5p

Combine like terms: 5p + -5p = 0
1 + -6p = 12 + 0
1 + -6p = 12

Add '-1' to each side of the equation.
1 + -1 + -6p = 12 + -1

Combine like terms: 1 + -1 = 0
0 + -6p = 12 + -1
-6p = 12 + -1

Combine like terms: 12 + -1 = 11
-6p = 11

Divide each side by '-6'.
p = -1.833333333

Simplifying
p = -1.833333333

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