3(p+4)=2(3p+1)-20

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Solution for 3(p+4)=2(3p+1)-20 equation: 


Simplifying
3(p + 4) = 2(3p + 1) + -20

Reorder the terms:
3(4 + p) = 2(3p + 1) + -20
(4 * 3 + p * 3) = 2(3p + 1) + -20
(12 + 3p) = 2(3p + 1) + -20

Reorder the terms:
12 + 3p = 2(1 + 3p) + -20
12 + 3p = (1 * 2 + 3p * 2) + -20
12 + 3p = (2 + 6p) + -20

Reorder the terms:
12 + 3p = 2 + -20 + 6p

Combine like terms: 2 + -20 = -18
12 + 3p = -18 + 6p

Solving
12 + 3p = -18 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
12 + 3p + -6p = -18 + 6p + -6p

Combine like terms: 3p + -6p = -3p
12 + -3p = -18 + 6p + -6p

Combine like terms: 6p + -6p = 0
12 + -3p = -18 + 0
12 + -3p = -18

Add '-12' to each side of the equation.
12 + -12 + -3p = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -3p = -18 + -12
-3p = -18 + -12

Combine like terms: -18 + -12 = -30
-3p = -30

Divide each side by '-3'.
p = 10

Simplifying
p = 10

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