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

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


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

Reorder the terms:
-3(6 + 4p) + -2(3 + -11p) = 3(4 + 3p)
(6 * -3 + 4p * -3) + -2(3 + -11p) = 3(4 + 3p)
(-18 + -12p) + -2(3 + -11p) = 3(4 + 3p)
-18 + -12p + (3 * -2 + -11p * -2) = 3(4 + 3p)
-18 + -12p + (-6 + 22p) = 3(4 + 3p)

Reorder the terms:
-18 + -6 + -12p + 22p = 3(4 + 3p)

Combine like terms: -18 + -6 = -24
-24 + -12p + 22p = 3(4 + 3p)

Combine like terms: -12p + 22p = 10p
-24 + 10p = 3(4 + 3p)
-24 + 10p = (4 * 3 + 3p * 3)
-24 + 10p = (12 + 9p)

Solving
-24 + 10p = 12 + 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.
-24 + 10p + -9p = 12 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-24 + 1p = 12 + 9p + -9p

Combine like terms: 9p + -9p = 0
-24 + 1p = 12 + 0
-24 + 1p = 12

Add '24' to each side of the equation.
-24 + 24 + 1p = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 1p = 12 + 24
1p = 12 + 24

Combine like terms: 12 + 24 = 36
1p = 36

Divide each side by '1'.
p = 36

Simplifying
p = 36

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