-4(5p+4)-44=3(2p+6)

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Solution for -4(5p+4)-44=3(2p+6) equation:


Simplifying
-4(5p + 4) + -44 = 3(2p + 6)

Reorder the terms:
-4(4 + 5p) + -44 = 3(2p + 6)
(4 * -4 + 5p * -4) + -44 = 3(2p + 6)
(-16 + -20p) + -44 = 3(2p + 6)

Reorder the terms:
-16 + -44 + -20p = 3(2p + 6)

Combine like terms: -16 + -44 = -60
-60 + -20p = 3(2p + 6)

Reorder the terms:
-60 + -20p = 3(6 + 2p)
-60 + -20p = (6 * 3 + 2p * 3)
-60 + -20p = (18 + 6p)

Solving
-60 + -20p = 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.
-60 + -20p + -6p = 18 + 6p + -6p

Combine like terms: -20p + -6p = -26p
-60 + -26p = 18 + 6p + -6p

Combine like terms: 6p + -6p = 0
-60 + -26p = 18 + 0
-60 + -26p = 18

Add '60' to each side of the equation.
-60 + 60 + -26p = 18 + 60

Combine like terms: -60 + 60 = 0
0 + -26p = 18 + 60
-26p = 18 + 60

Combine like terms: 18 + 60 = 78
-26p = 78

Divide each side by '-26'.
p = -3

Simplifying
p = -3

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