-3(4p+4)-2(3-11p)=3(1+3p)

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Solution for -3(4p+4)-2(3-11p)=3(1+3p) equation:


Simplifying
-3(4p + 4) + -2(3 + -11p) = 3(1 + 3p)

Reorder the terms:
-3(4 + 4p) + -2(3 + -11p) = 3(1 + 3p)
(4 * -3 + 4p * -3) + -2(3 + -11p) = 3(1 + 3p)
(-12 + -12p) + -2(3 + -11p) = 3(1 + 3p)
-12 + -12p + (3 * -2 + -11p * -2) = 3(1 + 3p)
-12 + -12p + (-6 + 22p) = 3(1 + 3p)

Reorder the terms:
-12 + -6 + -12p + 22p = 3(1 + 3p)

Combine like terms: -12 + -6 = -18
-18 + -12p + 22p = 3(1 + 3p)

Combine like terms: -12p + 22p = 10p
-18 + 10p = 3(1 + 3p)
-18 + 10p = (1 * 3 + 3p * 3)
-18 + 10p = (3 + 9p)

Solving
-18 + 10p = 3 + 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.
-18 + 10p + -9p = 3 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-18 + 1p = 3 + 9p + -9p

Combine like terms: 9p + -9p = 0
-18 + 1p = 3 + 0
-18 + 1p = 3

Add '18' to each side of the equation.
-18 + 18 + 1p = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 1p = 3 + 18
1p = 3 + 18

Combine like terms: 3 + 18 = 21
1p = 21

Divide each side by '1'.
p = 21

Simplifying
p = 21

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