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

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


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

Reorder the terms:
-4(4 + 4p) + -19 = 3(2p + 3)
(4 * -4 + 4p * -4) + -19 = 3(2p + 3)
(-16 + -16p) + -19 = 3(2p + 3)

Reorder the terms:
-16 + -19 + -16p = 3(2p + 3)

Combine like terms: -16 + -19 = -35
-35 + -16p = 3(2p + 3)

Reorder the terms:
-35 + -16p = 3(3 + 2p)
-35 + -16p = (3 * 3 + 2p * 3)
-35 + -16p = (9 + 6p)

Solving
-35 + -16p = 9 + 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.
-35 + -16p + -6p = 9 + 6p + -6p

Combine like terms: -16p + -6p = -22p
-35 + -22p = 9 + 6p + -6p

Combine like terms: 6p + -6p = 0
-35 + -22p = 9 + 0
-35 + -22p = 9

Add '35' to each side of the equation.
-35 + 35 + -22p = 9 + 35

Combine like terms: -35 + 35 = 0
0 + -22p = 9 + 35
-22p = 9 + 35

Combine like terms: 9 + 35 = 44
-22p = 44

Divide each side by '-22'.
p = -2

Simplifying
p = -2

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