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

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


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

Reorder the terms:
-3(3 + 4p) + -2(6 + -11p) = 3(6 + 3p)
(3 * -3 + 4p * -3) + -2(6 + -11p) = 3(6 + 3p)
(-9 + -12p) + -2(6 + -11p) = 3(6 + 3p)
-9 + -12p + (6 * -2 + -11p * -2) = 3(6 + 3p)
-9 + -12p + (-12 + 22p) = 3(6 + 3p)

Reorder the terms:
-9 + -12 + -12p + 22p = 3(6 + 3p)

Combine like terms: -9 + -12 = -21
-21 + -12p + 22p = 3(6 + 3p)

Combine like terms: -12p + 22p = 10p
-21 + 10p = 3(6 + 3p)
-21 + 10p = (6 * 3 + 3p * 3)
-21 + 10p = (18 + 9p)

Solving
-21 + 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.
-21 + 10p + -9p = 18 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-21 + 1p = 18 + 9p + -9p

Combine like terms: 9p + -9p = 0
-21 + 1p = 18 + 0
-21 + 1p = 18

Add '21' to each side of the equation.
-21 + 21 + 1p = 18 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 18 + 21
1p = 18 + 21

Combine like terms: 18 + 21 = 39
1p = 39

Divide each side by '1'.
p = 39

Simplifying
p = 39

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