-3(4p+4)-2(3-11)=3(2+3p)

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Solution for -3(4p+4)-2(3-11)=3(2+3p) equation:


Simplifying
-3(4p + 4) + -2(3 + -11) = 3(2 + 3p)

Reorder the terms:
-3(4 + 4p) + -2(3 + -11) = 3(2 + 3p)
(4 * -3 + 4p * -3) + -2(3 + -11) = 3(2 + 3p)
(-12 + -12p) + -2(3 + -11) = 3(2 + 3p)

Combine like terms: 3 + -11 = -8
-12 + -12p + -2(-8) = 3(2 + 3p)

Multiply -2 * -8
-12 + -12p + 16 = 3(2 + 3p)

Reorder the terms:
-12 + 16 + -12p = 3(2 + 3p)

Combine like terms: -12 + 16 = 4
4 + -12p = 3(2 + 3p)
4 + -12p = (2 * 3 + 3p * 3)
4 + -12p = (6 + 9p)

Solving
4 + -12p = 6 + 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 + -12p + -9p = 6 + 9p + -9p

Combine like terms: -12p + -9p = -21p
4 + -21p = 6 + 9p + -9p

Combine like terms: 9p + -9p = 0
4 + -21p = 6 + 0
4 + -21p = 6

Add '-4' to each side of the equation.
4 + -4 + -21p = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -21p = 6 + -4
-21p = 6 + -4

Combine like terms: 6 + -4 = 2
-21p = 2

Divide each side by '-21'.
p = -0.09523809524

Simplifying
p = -0.09523809524

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