-23p-6(6-5p)=3(p-3)-7

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Solution for -23p-6(6-5p)=3(p-3)-7 equation:


Simplifying
-23p + -6(6 + -5p) = 3(p + -3) + -7
-23p + (6 * -6 + -5p * -6) = 3(p + -3) + -7
-23p + (-36 + 30p) = 3(p + -3) + -7

Reorder the terms:
-36 + -23p + 30p = 3(p + -3) + -7

Combine like terms: -23p + 30p = 7p
-36 + 7p = 3(p + -3) + -7

Reorder the terms:
-36 + 7p = 3(-3 + p) + -7
-36 + 7p = (-3 * 3 + p * 3) + -7
-36 + 7p = (-9 + 3p) + -7

Reorder the terms:
-36 + 7p = -9 + -7 + 3p

Combine like terms: -9 + -7 = -16
-36 + 7p = -16 + 3p

Solving
-36 + 7p = -16 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-36 + 7p + -3p = -16 + 3p + -3p

Combine like terms: 7p + -3p = 4p
-36 + 4p = -16 + 3p + -3p

Combine like terms: 3p + -3p = 0
-36 + 4p = -16 + 0
-36 + 4p = -16

Add '36' to each side of the equation.
-36 + 36 + 4p = -16 + 36

Combine like terms: -36 + 36 = 0
0 + 4p = -16 + 36
4p = -16 + 36

Combine like terms: -16 + 36 = 20
4p = 20

Divide each side by '4'.
p = 5

Simplifying
p = 5

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