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

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


Simplifying
3(-2p + -3) = -4[2p + 4(p + -3)]

Reorder the terms:
3(-3 + -2p) = -4[2p + 4(p + -3)]
(-3 * 3 + -2p * 3) = -4[2p + 4(p + -3)]
(-9 + -6p) = -4[2p + 4(p + -3)]

Reorder the terms:
-9 + -6p = -4[2p + 4(-3 + p)]
-9 + -6p = -4[2p + (-3 * 4 + p * 4)]
-9 + -6p = -4[2p + (-12 + 4p)]

Reorder the terms:
-9 + -6p = -4[-12 + 2p + 4p]

Combine like terms: 2p + 4p = 6p
-9 + -6p = -4[-12 + 6p]
-9 + -6p = [-12 * -4 + 6p * -4]
-9 + -6p = [48 + -24p]

Solving
-9 + -6p = 48 + -24p

Solving for variable 'p'.

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

Add '24p' to each side of the equation.
-9 + -6p + 24p = 48 + -24p + 24p

Combine like terms: -6p + 24p = 18p
-9 + 18p = 48 + -24p + 24p

Combine like terms: -24p + 24p = 0
-9 + 18p = 48 + 0
-9 + 18p = 48

Add '9' to each side of the equation.
-9 + 9 + 18p = 48 + 9

Combine like terms: -9 + 9 = 0
0 + 18p = 48 + 9
18p = 48 + 9

Combine like terms: 48 + 9 = 57
18p = 57

Divide each side by '18'.
p = 3.166666667

Simplifying
p = 3.166666667

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