9(-4-p)=3(-4p-8)

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Solution for 9(-4-p)=3(-4p-8) equation:


Simplifying
9(-4 + -1p) = 3(-4p + -8)
(-4 * 9 + -1p * 9) = 3(-4p + -8)
(-36 + -9p) = 3(-4p + -8)

Reorder the terms:
-36 + -9p = 3(-8 + -4p)
-36 + -9p = (-8 * 3 + -4p * 3)
-36 + -9p = (-24 + -12p)

Solving
-36 + -9p = -24 + -12p

Solving for variable 'p'.

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

Add '12p' to each side of the equation.
-36 + -9p + 12p = -24 + -12p + 12p

Combine like terms: -9p + 12p = 3p
-36 + 3p = -24 + -12p + 12p

Combine like terms: -12p + 12p = 0
-36 + 3p = -24 + 0
-36 + 3p = -24

Add '36' to each side of the equation.
-36 + 36 + 3p = -24 + 36

Combine like terms: -36 + 36 = 0
0 + 3p = -24 + 36
3p = -24 + 36

Combine like terms: -24 + 36 = 12
3p = 12

Divide each side by '3'.
p = 4

Simplifying
p = 4

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