2(p+13)+7=8(5-p)-3(-7-3p)+4

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Solution for 2(p+13)+7=8(5-p)-3(-7-3p)+4 equation: 


Simplifying
2(p + 13) + 7 = 8(5 + -1p) + -3(-7 + -3p) + 4

Reorder the terms:
2(13 + p) + 7 = 8(5 + -1p) + -3(-7 + -3p) + 4
(13 * 2 + p * 2) + 7 = 8(5 + -1p) + -3(-7 + -3p) + 4
(26 + 2p) + 7 = 8(5 + -1p) + -3(-7 + -3p) + 4

Reorder the terms:
26 + 7 + 2p = 8(5 + -1p) + -3(-7 + -3p) + 4

Combine like terms: 26 + 7 = 33
33 + 2p = 8(5 + -1p) + -3(-7 + -3p) + 4
33 + 2p = (5 * 8 + -1p * 8) + -3(-7 + -3p) + 4
33 + 2p = (40 + -8p) + -3(-7 + -3p) + 4
33 + 2p = 40 + -8p + (-7 * -3 + -3p * -3) + 4
33 + 2p = 40 + -8p + (21 + 9p) + 4

Reorder the terms:
33 + 2p = 40 + 21 + 4 + -8p + 9p

Combine like terms: 40 + 21 = 61
33 + 2p = 61 + 4 + -8p + 9p

Combine like terms: 61 + 4 = 65
33 + 2p = 65 + -8p + 9p

Combine like terms: -8p + 9p = 1p
33 + 2p = 65 + 1p

Solving
33 + 2p = 65 + 1p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
33 + 2p + -1p = 65 + 1p + -1p

Combine like terms: 2p + -1p = 1p
33 + 1p = 65 + 1p + -1p

Combine like terms: 1p + -1p = 0
33 + 1p = 65 + 0
33 + 1p = 65

Add '-33' to each side of the equation.
33 + -33 + 1p = 65 + -33

Combine like terms: 33 + -33 = 0
0 + 1p = 65 + -33
1p = 65 + -33

Combine like terms: 65 + -33 = 32
1p = 32

Divide each side by '1'.
p = 32

Simplifying
p = 32

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