7[p+3]+9=5[p-2]-3p

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Solution for 7[p+3]+9=5[p-2]-3p equation: 


Simplifying
7[p + 3] + 9 = 5[p + -2] + -3p

Reorder the terms:
7[3 + p] + 9 = 5[p + -2] + -3p
[3 * 7 + p * 7] + 9 = 5[p + -2] + -3p
[21 + 7p] + 9 = 5[p + -2] + -3p

Reorder the terms:
21 + 9 + 7p = 5[p + -2] + -3p

Combine like terms: 21 + 9 = 30
30 + 7p = 5[p + -2] + -3p

Reorder the terms:
30 + 7p = 5[-2 + p] + -3p
30 + 7p = [-2 * 5 + p * 5] + -3p
30 + 7p = [-10 + 5p] + -3p

Combine like terms: 5p + -3p = 2p
30 + 7p = -10 + 2p

Solving
30 + 7p = -10 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
30 + 7p + -2p = -10 + 2p + -2p

Combine like terms: 7p + -2p = 5p
30 + 5p = -10 + 2p + -2p

Combine like terms: 2p + -2p = 0
30 + 5p = -10 + 0
30 + 5p = -10

Add '-30' to each side of the equation.
30 + -30 + 5p = -10 + -30

Combine like terms: 30 + -30 = 0
0 + 5p = -10 + -30
5p = -10 + -30

Combine like terms: -10 + -30 = -40
5p = -40

Divide each side by '5'.
p = -8

Simplifying
p = -8

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