-3(4p+4)-2(2-11p)=3(6+3p)

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Solution for -3(4p+4)-2(2-11p)=3(6+3p) equation:


Simplifying
-3(4p + 4) + -2(2 + -11p) = 3(6 + 3p)

Reorder the terms:
-3(4 + 4p) + -2(2 + -11p) = 3(6 + 3p)
(4 * -3 + 4p * -3) + -2(2 + -11p) = 3(6 + 3p)
(-12 + -12p) + -2(2 + -11p) = 3(6 + 3p)
-12 + -12p + (2 * -2 + -11p * -2) = 3(6 + 3p)
-12 + -12p + (-4 + 22p) = 3(6 + 3p)

Reorder the terms:
-12 + -4 + -12p + 22p = 3(6 + 3p)

Combine like terms: -12 + -4 = -16
-16 + -12p + 22p = 3(6 + 3p)

Combine like terms: -12p + 22p = 10p
-16 + 10p = 3(6 + 3p)
-16 + 10p = (6 * 3 + 3p * 3)
-16 + 10p = (18 + 9p)

Solving
-16 + 10p = 18 + 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.
-16 + 10p + -9p = 18 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-16 + 1p = 18 + 9p + -9p

Combine like terms: 9p + -9p = 0
-16 + 1p = 18 + 0
-16 + 1p = 18

Add '16' to each side of the equation.
-16 + 16 + 1p = 18 + 16

Combine like terms: -16 + 16 = 0
0 + 1p = 18 + 16
1p = 18 + 16

Combine like terms: 18 + 16 = 34
1p = 34

Divide each side by '1'.
p = 34

Simplifying
p = 34

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