-8-4(6-4p)=5(p-6)-27

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Solution for -8-4(6-4p)=5(p-6)-27 equation:


Simplifying
-8 + -4(6 + -4p) = 5(p + -6) + -27
-8 + (6 * -4 + -4p * -4) = 5(p + -6) + -27
-8 + (-24 + 16p) = 5(p + -6) + -27

Combine like terms: -8 + -24 = -32
-32 + 16p = 5(p + -6) + -27

Reorder the terms:
-32 + 16p = 5(-6 + p) + -27
-32 + 16p = (-6 * 5 + p * 5) + -27
-32 + 16p = (-30 + 5p) + -27

Reorder the terms:
-32 + 16p = -30 + -27 + 5p

Combine like terms: -30 + -27 = -57
-32 + 16p = -57 + 5p

Solving
-32 + 16p = -57 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-32 + 16p + -5p = -57 + 5p + -5p

Combine like terms: 16p + -5p = 11p
-32 + 11p = -57 + 5p + -5p

Combine like terms: 5p + -5p = 0
-32 + 11p = -57 + 0
-32 + 11p = -57

Add '32' to each side of the equation.
-32 + 32 + 11p = -57 + 32

Combine like terms: -32 + 32 = 0
0 + 11p = -57 + 32
11p = -57 + 32

Combine like terms: -57 + 32 = -25
11p = -25

Divide each side by '11'.
p = -2.272727273

Simplifying
p = -2.272727273

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