-5(2p+4)-19=3(3p+6)

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Solution for -5(2p+4)-19=3(3p+6) equation:


Simplifying
-5(2p + 4) + -19 = 3(3p + 6)

Reorder the terms:
-5(4 + 2p) + -19 = 3(3p + 6)
(4 * -5 + 2p * -5) + -19 = 3(3p + 6)
(-20 + -10p) + -19 = 3(3p + 6)

Reorder the terms:
-20 + -19 + -10p = 3(3p + 6)

Combine like terms: -20 + -19 = -39
-39 + -10p = 3(3p + 6)

Reorder the terms:
-39 + -10p = 3(6 + 3p)
-39 + -10p = (6 * 3 + 3p * 3)
-39 + -10p = (18 + 9p)

Solving
-39 + -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.
-39 + -10p + -9p = 18 + 9p + -9p

Combine like terms: -10p + -9p = -19p
-39 + -19p = 18 + 9p + -9p

Combine like terms: 9p + -9p = 0
-39 + -19p = 18 + 0
-39 + -19p = 18

Add '39' to each side of the equation.
-39 + 39 + -19p = 18 + 39

Combine like terms: -39 + 39 = 0
0 + -19p = 18 + 39
-19p = 18 + 39

Combine like terms: 18 + 39 = 57
-19p = 57

Divide each side by '-19'.
p = -3

Simplifying
p = -3

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