-4(4p+4)-27=5(2p+7)

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Solution for -4(4p+4)-27=5(2p+7) equation:


Simplifying
-4(4p + 4) + -27 = 5(2p + 7)

Reorder the terms:
-4(4 + 4p) + -27 = 5(2p + 7)
(4 * -4 + 4p * -4) + -27 = 5(2p + 7)
(-16 + -16p) + -27 = 5(2p + 7)

Reorder the terms:
-16 + -27 + -16p = 5(2p + 7)

Combine like terms: -16 + -27 = -43
-43 + -16p = 5(2p + 7)

Reorder the terms:
-43 + -16p = 5(7 + 2p)
-43 + -16p = (7 * 5 + 2p * 5)
-43 + -16p = (35 + 10p)

Solving
-43 + -16p = 35 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-43 + -16p + -10p = 35 + 10p + -10p

Combine like terms: -16p + -10p = -26p
-43 + -26p = 35 + 10p + -10p

Combine like terms: 10p + -10p = 0
-43 + -26p = 35 + 0
-43 + -26p = 35

Add '43' to each side of the equation.
-43 + 43 + -26p = 35 + 43

Combine like terms: -43 + 43 = 0
0 + -26p = 35 + 43
-26p = 35 + 43

Combine like terms: 35 + 43 = 78
-26p = 78

Divide each side by '-26'.
p = -3

Simplifying
p = -3

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