-7p-4(2-4p)=6(p-6)-17

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Solution for -7p-4(2-4p)=6(p-6)-17 equation:


Simplifying
-7p + -4(2 + -4p) = 6(p + -6) + -17
-7p + (2 * -4 + -4p * -4) = 6(p + -6) + -17
-7p + (-8 + 16p) = 6(p + -6) + -17

Reorder the terms:
-8 + -7p + 16p = 6(p + -6) + -17

Combine like terms: -7p + 16p = 9p
-8 + 9p = 6(p + -6) + -17

Reorder the terms:
-8 + 9p = 6(-6 + p) + -17
-8 + 9p = (-6 * 6 + p * 6) + -17
-8 + 9p = (-36 + 6p) + -17

Reorder the terms:
-8 + 9p = -36 + -17 + 6p

Combine like terms: -36 + -17 = -53
-8 + 9p = -53 + 6p

Solving
-8 + 9p = -53 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-8 + 9p + -6p = -53 + 6p + -6p

Combine like terms: 9p + -6p = 3p
-8 + 3p = -53 + 6p + -6p

Combine like terms: 6p + -6p = 0
-8 + 3p = -53 + 0
-8 + 3p = -53

Add '8' to each side of the equation.
-8 + 8 + 3p = -53 + 8

Combine like terms: -8 + 8 = 0
0 + 3p = -53 + 8
3p = -53 + 8

Combine like terms: -53 + 8 = -45
3p = -45

Divide each side by '3'.
p = -15

Simplifying
p = -15

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