-4(2p+4)-43=5(4p+5)

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Solution for -4(2p+4)-43=5(4p+5) equation:


Simplifying
-4(2p + 4) + -43 = 5(4p + 5)

Reorder the terms:
-4(4 + 2p) + -43 = 5(4p + 5)
(4 * -4 + 2p * -4) + -43 = 5(4p + 5)
(-16 + -8p) + -43 = 5(4p + 5)

Reorder the terms:
-16 + -43 + -8p = 5(4p + 5)

Combine like terms: -16 + -43 = -59
-59 + -8p = 5(4p + 5)

Reorder the terms:
-59 + -8p = 5(5 + 4p)
-59 + -8p = (5 * 5 + 4p * 5)
-59 + -8p = (25 + 20p)

Solving
-59 + -8p = 25 + 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.
-59 + -8p + -20p = 25 + 20p + -20p

Combine like terms: -8p + -20p = -28p
-59 + -28p = 25 + 20p + -20p

Combine like terms: 20p + -20p = 0
-59 + -28p = 25 + 0
-59 + -28p = 25

Add '59' to each side of the equation.
-59 + 59 + -28p = 25 + 59

Combine like terms: -59 + 59 = 0
0 + -28p = 25 + 59
-28p = 25 + 59

Combine like terms: 25 + 59 = 84
-28p = 84

Divide each side by '-28'.
p = -3

Simplifying
p = -3

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