24-7p=-(4p-8)-5

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Solution for 24-7p=-(4p-8)-5 equation:


Simplifying
24 + -7p = -1(4p + -8) + -5

Reorder the terms:
24 + -7p = -1(-8 + 4p) + -5
24 + -7p = (-8 * -1 + 4p * -1) + -5
24 + -7p = (8 + -4p) + -5

Reorder the terms:
24 + -7p = 8 + -5 + -4p

Combine like terms: 8 + -5 = 3
24 + -7p = 3 + -4p

Solving
24 + -7p = 3 + -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.
24 + -7p + 4p = 3 + -4p + 4p

Combine like terms: -7p + 4p = -3p
24 + -3p = 3 + -4p + 4p

Combine like terms: -4p + 4p = 0
24 + -3p = 3 + 0
24 + -3p = 3

Add '-24' to each side of the equation.
24 + -24 + -3p = 3 + -24

Combine like terms: 24 + -24 = 0
0 + -3p = 3 + -24
-3p = 3 + -24

Combine like terms: 3 + -24 = -21
-3p = -21

Divide each side by '-3'.
p = 7

Simplifying
p = 7

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