-23p-5(3-6p)=4(p-6)-9

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Solution for -23p-5(3-6p)=4(p-6)-9 equation:


Simplifying
-23p + -5(3 + -6p) = 4(p + -6) + -9
-23p + (3 * -5 + -6p * -5) = 4(p + -6) + -9
-23p + (-15 + 30p) = 4(p + -6) + -9

Reorder the terms:
-15 + -23p + 30p = 4(p + -6) + -9

Combine like terms: -23p + 30p = 7p
-15 + 7p = 4(p + -6) + -9

Reorder the terms:
-15 + 7p = 4(-6 + p) + -9
-15 + 7p = (-6 * 4 + p * 4) + -9
-15 + 7p = (-24 + 4p) + -9

Reorder the terms:
-15 + 7p = -24 + -9 + 4p

Combine like terms: -24 + -9 = -33
-15 + 7p = -33 + 4p

Solving
-15 + 7p = -33 + 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.
-15 + 7p + -4p = -33 + 4p + -4p

Combine like terms: 7p + -4p = 3p
-15 + 3p = -33 + 4p + -4p

Combine like terms: 4p + -4p = 0
-15 + 3p = -33 + 0
-15 + 3p = -33

Add '15' to each side of the equation.
-15 + 15 + 3p = -33 + 15

Combine like terms: -15 + 15 = 0
0 + 3p = -33 + 15
3p = -33 + 15

Combine like terms: -33 + 15 = -18
3p = -18

Divide each side by '3'.
p = -6

Simplifying
p = -6

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