-23p-6(5-5p)=4(p-5)-25

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Solution for -23p-6(5-5p)=4(p-5)-25 equation:


Simplifying
-23p + -6(5 + -5p) = 4(p + -5) + -25
-23p + (5 * -6 + -5p * -6) = 4(p + -5) + -25
-23p + (-30 + 30p) = 4(p + -5) + -25

Reorder the terms:
-30 + -23p + 30p = 4(p + -5) + -25

Combine like terms: -23p + 30p = 7p
-30 + 7p = 4(p + -5) + -25

Reorder the terms:
-30 + 7p = 4(-5 + p) + -25
-30 + 7p = (-5 * 4 + p * 4) + -25
-30 + 7p = (-20 + 4p) + -25

Reorder the terms:
-30 + 7p = -20 + -25 + 4p

Combine like terms: -20 + -25 = -45
-30 + 7p = -45 + 4p

Solving
-30 + 7p = -45 + 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.
-30 + 7p + -4p = -45 + 4p + -4p

Combine like terms: 7p + -4p = 3p
-30 + 3p = -45 + 4p + -4p

Combine like terms: 4p + -4p = 0
-30 + 3p = -45 + 0
-30 + 3p = -45

Add '30' to each side of the equation.
-30 + 30 + 3p = -45 + 30

Combine like terms: -30 + 30 = 0
0 + 3p = -45 + 30
3p = -45 + 30

Combine like terms: -45 + 30 = -15
3p = -15

Divide each side by '3'.
p = -5

Simplifying
p = -5

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