-17p-6(2-4p)=3(p-2)-6

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Solution for -17p-6(2-4p)=3(p-2)-6 equation:


Simplifying
-17p + -6(2 + -4p) = 3(p + -2) + -6
-17p + (2 * -6 + -4p * -6) = 3(p + -2) + -6
-17p + (-12 + 24p) = 3(p + -2) + -6

Reorder the terms:
-12 + -17p + 24p = 3(p + -2) + -6

Combine like terms: -17p + 24p = 7p
-12 + 7p = 3(p + -2) + -6

Reorder the terms:
-12 + 7p = 3(-2 + p) + -6
-12 + 7p = (-2 * 3 + p * 3) + -6
-12 + 7p = (-6 + 3p) + -6

Reorder the terms:
-12 + 7p = -6 + -6 + 3p

Combine like terms: -6 + -6 = -12
-12 + 7p = -12 + 3p

Add '12' to each side of the equation.
-12 + 12 + 7p = -12 + 12 + 3p

Combine like terms: -12 + 12 = 0
0 + 7p = -12 + 12 + 3p
7p = -12 + 12 + 3p

Combine like terms: -12 + 12 = 0
7p = 0 + 3p
7p = 3p

Solving
7p = 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.
7p + -3p = 3p + -3p

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

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

Divide each side by '4'.
p = 0

Simplifying
p = 0

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