-17p-4(4-6p)=2(p-6)-34

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Solution for -17p-4(4-6p)=2(p-6)-34 equation: 


Simplifying
-17p + -4(4 + -6p) = 2(p + -6) + -34
-17p + (4 * -4 + -6p * -4) = 2(p + -6) + -34
-17p + (-16 + 24p) = 2(p + -6) + -34

Reorder the terms:
-16 + -17p + 24p = 2(p + -6) + -34

Combine like terms: -17p + 24p = 7p
-16 + 7p = 2(p + -6) + -34

Reorder the terms:
-16 + 7p = 2(-6 + p) + -34
-16 + 7p = (-6 * 2 + p * 2) + -34
-16 + 7p = (-12 + 2p) + -34

Reorder the terms:
-16 + 7p = -12 + -34 + 2p

Combine like terms: -12 + -34 = -46
-16 + 7p = -46 + 2p

Solving
-16 + 7p = -46 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-16 + 7p + -2p = -46 + 2p + -2p

Combine like terms: 7p + -2p = 5p
-16 + 5p = -46 + 2p + -2p

Combine like terms: 2p + -2p = 0
-16 + 5p = -46 + 0
-16 + 5p = -46

Add '16' to each side of the equation.
-16 + 16 + 5p = -46 + 16

Combine like terms: -16 + 16 = 0
0 + 5p = -46 + 16
5p = -46 + 16

Combine like terms: -46 + 16 = -30
5p = -30

Divide each side by '5'.
p = -6

Simplifying
p = -6

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