-p+5(p+8)=-4(2+3p)

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Solution for -p+5(p+8)=-4(2+3p) equation: 


Simplifying
-1p + 5(p + 8) = -4(2 + 3p)

Reorder the terms:
-1p + 5(8 + p) = -4(2 + 3p)
-1p + (8 * 5 + p * 5) = -4(2 + 3p)
-1p + (40 + 5p) = -4(2 + 3p)

Reorder the terms:
40 + -1p + 5p = -4(2 + 3p)

Combine like terms: -1p + 5p = 4p
40 + 4p = -4(2 + 3p)
40 + 4p = (2 * -4 + 3p * -4)
40 + 4p = (-8 + -12p)

Solving
40 + 4p = -8 + -12p

Solving for variable 'p'.

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

Add '12p' to each side of the equation.
40 + 4p + 12p = -8 + -12p + 12p

Combine like terms: 4p + 12p = 16p
40 + 16p = -8 + -12p + 12p

Combine like terms: -12p + 12p = 0
40 + 16p = -8 + 0
40 + 16p = -8

Add '-40' to each side of the equation.
40 + -40 + 16p = -8 + -40

Combine like terms: 40 + -40 = 0
0 + 16p = -8 + -40
16p = -8 + -40

Combine like terms: -8 + -40 = -48
16p = -48

Divide each side by '16'.
p = -3

Simplifying
p = -3

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