-6+7(-p-5)=4(p-2)

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Solution for -6+7(-p-5)=4(p-2) equation:


Simplifying
-6 + 7(-1p + -5) = 4(p + -2)

Reorder the terms:
-6 + 7(-5 + -1p) = 4(p + -2)
-6 + (-5 * 7 + -1p * 7) = 4(p + -2)
-6 + (-35 + -7p) = 4(p + -2)

Combine like terms: -6 + -35 = -41
-41 + -7p = 4(p + -2)

Reorder the terms:
-41 + -7p = 4(-2 + p)
-41 + -7p = (-2 * 4 + p * 4)
-41 + -7p = (-8 + 4p)

Solving
-41 + -7p = -8 + 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.
-41 + -7p + -4p = -8 + 4p + -4p

Combine like terms: -7p + -4p = -11p
-41 + -11p = -8 + 4p + -4p

Combine like terms: 4p + -4p = 0
-41 + -11p = -8 + 0
-41 + -11p = -8

Add '41' to each side of the equation.
-41 + 41 + -11p = -8 + 41

Combine like terms: -41 + 41 = 0
0 + -11p = -8 + 41
-11p = -8 + 41

Combine like terms: -8 + 41 = 33
-11p = 33

Divide each side by '-11'.
p = -3

Simplifying
p = -3

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