6(p+8)=-4(2p-5)

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Solution for 6(p+8)=-4(2p-5) equation:


Simplifying
6(p + 8) = -4(2p + -5)

Reorder the terms:
6(8 + p) = -4(2p + -5)
(8 * 6 + p * 6) = -4(2p + -5)
(48 + 6p) = -4(2p + -5)

Reorder the terms:
48 + 6p = -4(-5 + 2p)
48 + 6p = (-5 * -4 + 2p * -4)
48 + 6p = (20 + -8p)

Solving
48 + 6p = 20 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
48 + 6p + 8p = 20 + -8p + 8p

Combine like terms: 6p + 8p = 14p
48 + 14p = 20 + -8p + 8p

Combine like terms: -8p + 8p = 0
48 + 14p = 20 + 0
48 + 14p = 20

Add '-48' to each side of the equation.
48 + -48 + 14p = 20 + -48

Combine like terms: 48 + -48 = 0
0 + 14p = 20 + -48
14p = 20 + -48

Combine like terms: 20 + -48 = -28
14p = -28

Divide each side by '14'.
p = -2

Simplifying
p = -2

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