-17p-5(2-5p)=4(p-4)-38

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Solution for -17p-5(2-5p)=4(p-4)-38 equation:


Simplifying
-17p + -5(2 + -5p) = 4(p + -4) + -38
-17p + (2 * -5 + -5p * -5) = 4(p + -4) + -38
-17p + (-10 + 25p) = 4(p + -4) + -38

Reorder the terms:
-10 + -17p + 25p = 4(p + -4) + -38

Combine like terms: -17p + 25p = 8p
-10 + 8p = 4(p + -4) + -38

Reorder the terms:
-10 + 8p = 4(-4 + p) + -38
-10 + 8p = (-4 * 4 + p * 4) + -38
-10 + 8p = (-16 + 4p) + -38

Reorder the terms:
-10 + 8p = -16 + -38 + 4p

Combine like terms: -16 + -38 = -54
-10 + 8p = -54 + 4p

Solving
-10 + 8p = -54 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-10 + 8p + -4p = -54 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-10 + 4p = -54 + 4p + -4p

Combine like terms: 4p + -4p = 0
-10 + 4p = -54 + 0
-10 + 4p = -54

Add '10' to each side of the equation.
-10 + 10 + 4p = -54 + 10

Combine like terms: -10 + 10 = 0
0 + 4p = -54 + 10
4p = -54 + 10

Combine like terms: -54 + 10 = -44
4p = -44

Divide each side by '4'.
p = -11

Simplifying
p = -11

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