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

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


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

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

Reorder the terms:
4 + 8p = 7(-2 + p) + -2(5 + -1p)
4 + 8p = (-2 * 7 + p * 7) + -2(5 + -1p)
4 + 8p = (-14 + 7p) + -2(5 + -1p)
4 + 8p = -14 + 7p + (5 * -2 + -1p * -2)
4 + 8p = -14 + 7p + (-10 + 2p)

Reorder the terms:
4 + 8p = -14 + -10 + 7p + 2p

Combine like terms: -14 + -10 = -24
4 + 8p = -24 + 7p + 2p

Combine like terms: 7p + 2p = 9p
4 + 8p = -24 + 9p

Solving
4 + 8p = -24 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
4 + 8p + -9p = -24 + 9p + -9p

Combine like terms: 8p + -9p = -1p
4 + -1p = -24 + 9p + -9p

Combine like terms: 9p + -9p = 0
4 + -1p = -24 + 0
4 + -1p = -24

Add '-4' to each side of the equation.
4 + -4 + -1p = -24 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = -24 + -4
-1p = -24 + -4

Combine like terms: -24 + -4 = -28
-1p = -28

Divide each side by '-1'.
p = 28

Simplifying
p = 28

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