-17p-4(4-6p)=3(p-5)-37

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Solution for -17p-4(4-6p)=3(p-5)-37 equation: 


Simplifying
-17p + -4(4 + -6p) = 3(p + -5) + -37
-17p + (4 * -4 + -6p * -4) = 3(p + -5) + -37
-17p + (-16 + 24p) = 3(p + -5) + -37

Reorder the terms:
-16 + -17p + 24p = 3(p + -5) + -37

Combine like terms: -17p + 24p = 7p
-16 + 7p = 3(p + -5) + -37

Reorder the terms:
-16 + 7p = 3(-5 + p) + -37
-16 + 7p = (-5 * 3 + p * 3) + -37
-16 + 7p = (-15 + 3p) + -37

Reorder the terms:
-16 + 7p = -15 + -37 + 3p

Combine like terms: -15 + -37 = -52
-16 + 7p = -52 + 3p

Solving
-16 + 7p = -52 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-16 + 7p + -3p = -52 + 3p + -3p

Combine like terms: 7p + -3p = 4p
-16 + 4p = -52 + 3p + -3p

Combine like terms: 3p + -3p = 0
-16 + 4p = -52 + 0
-16 + 4p = -52

Add '16' to each side of the equation.
-16 + 16 + 4p = -52 + 16

Combine like terms: -16 + 16 = 0
0 + 4p = -52 + 16
4p = -52 + 16

Combine like terms: -52 + 16 = -36
4p = -36

Divide each side by '4'.
p = -9

Simplifying
p = -9

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