5p-(8p-16)=4(5p+9)

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Solution for 5p-(8p-16)=4(5p+9) equation: 


Simplifying
5p + -1(8p + -16) = 4(5p + 9)

Reorder the terms:
5p + -1(-16 + 8p) = 4(5p + 9)
5p + (-16 * -1 + 8p * -1) = 4(5p + 9)
5p + (16 + -8p) = 4(5p + 9)

Reorder the terms:
16 + 5p + -8p = 4(5p + 9)

Combine like terms: 5p + -8p = -3p
16 + -3p = 4(5p + 9)

Reorder the terms:
16 + -3p = 4(9 + 5p)
16 + -3p = (9 * 4 + 5p * 4)
16 + -3p = (36 + 20p)

Solving
16 + -3p = 36 + 20p

Solving for variable 'p'.

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

Add '-20p' to each side of the equation.
16 + -3p + -20p = 36 + 20p + -20p

Combine like terms: -3p + -20p = -23p
16 + -23p = 36 + 20p + -20p

Combine like terms: 20p + -20p = 0
16 + -23p = 36 + 0
16 + -23p = 36

Add '-16' to each side of the equation.
16 + -16 + -23p = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -23p = 36 + -16
-23p = 36 + -16

Combine like terms: 36 + -16 = 20
-23p = 20

Divide each side by '-23'.
p = -0.8695652174

Simplifying
p = -0.8695652174

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