-9(p+2)=3(4p-20)-18

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Solution for -9(p+2)=3(4p-20)-18 equation: 


Simplifying
-9(p + 2) = 3(4p + -20) + -18

Reorder the terms:
-9(2 + p) = 3(4p + -20) + -18
(2 * -9 + p * -9) = 3(4p + -20) + -18
(-18 + -9p) = 3(4p + -20) + -18

Reorder the terms:
-18 + -9p = 3(-20 + 4p) + -18
-18 + -9p = (-20 * 3 + 4p * 3) + -18
-18 + -9p = (-60 + 12p) + -18

Reorder the terms:
-18 + -9p = -60 + -18 + 12p

Combine like terms: -60 + -18 = -78
-18 + -9p = -78 + 12p

Solving
-18 + -9p = -78 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.
-18 + -9p + -12p = -78 + 12p + -12p

Combine like terms: -9p + -12p = -21p
-18 + -21p = -78 + 12p + -12p

Combine like terms: 12p + -12p = 0
-18 + -21p = -78 + 0
-18 + -21p = -78

Add '18' to each side of the equation.
-18 + 18 + -21p = -78 + 18

Combine like terms: -18 + 18 = 0
0 + -21p = -78 + 18
-21p = -78 + 18

Combine like terms: -78 + 18 = -60
-21p = -60

Divide each side by '-21'.
p = 2.857142857

Simplifying
p = 2.857142857

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