4(2p+3)-(-p-4)=-11p

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Solution for 4(2p+3)-(-p-4)=-11p equation:


Simplifying
4(2p + 3) + -1(-1p + -4) = -11p

Reorder the terms:
4(3 + 2p) + -1(-1p + -4) = -11p
(3 * 4 + 2p * 4) + -1(-1p + -4) = -11p
(12 + 8p) + -1(-1p + -4) = -11p

Reorder the terms:
12 + 8p + -1(-4 + -1p) = -11p
12 + 8p + (-4 * -1 + -1p * -1) = -11p
12 + 8p + (4 + 1p) = -11p

Reorder the terms:
12 + 4 + 8p + 1p = -11p

Combine like terms: 12 + 4 = 16
16 + 8p + 1p = -11p

Combine like terms: 8p + 1p = 9p
16 + 9p = -11p

Solving
16 + 9p = -11p

Solving for variable 'p'.

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

Add '11p' to each side of the equation.
16 + 9p + 11p = -11p + 11p

Combine like terms: 9p + 11p = 20p
16 + 20p = -11p + 11p

Combine like terms: -11p + 11p = 0
16 + 20p = 0

Add '-16' to each side of the equation.
16 + -16 + 20p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 20p = 0 + -16
20p = 0 + -16

Combine like terms: 0 + -16 = -16
20p = -16

Divide each side by '20'.
p = -0.8

Simplifying
p = -0.8

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