-21p-5(4-5p)=(p-5)-2

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Solution for -21p-5(4-5p)=(p-5)-2 equation:


Simplifying
-21p + -5(4 + -5p) = (p + -5) + -2
-21p + (4 * -5 + -5p * -5) = (p + -5) + -2
-21p + (-20 + 25p) = (p + -5) + -2

Reorder the terms:
-20 + -21p + 25p = (p + -5) + -2

Combine like terms: -21p + 25p = 4p
-20 + 4p = (p + -5) + -2

Reorder the terms:
-20 + 4p = (-5 + p) + -2

Remove parenthesis around (-5 + p)
-20 + 4p = -5 + p + -2

Reorder the terms:
-20 + 4p = -5 + -2 + p

Combine like terms: -5 + -2 = -7
-20 + 4p = -7 + p

Solving
-20 + 4p = -7 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-20 + 4p + -1p = -7 + p + -1p

Combine like terms: 4p + -1p = 3p
-20 + 3p = -7 + p + -1p

Combine like terms: p + -1p = 0
-20 + 3p = -7 + 0
-20 + 3p = -7

Add '20' to each side of the equation.
-20 + 20 + 3p = -7 + 20

Combine like terms: -20 + 20 = 0
0 + 3p = -7 + 20
3p = -7 + 20

Combine like terms: -7 + 20 = 13
3p = 13

Divide each side by '3'.
p = 4.333333333

Simplifying
p = 4.333333333

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