-23p-6(3-5p)=5(p-4)-16

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Solution for -23p-6(3-5p)=5(p-4)-16 equation:


Simplifying
-23p + -6(3 + -5p) = 5(p + -4) + -16
-23p + (3 * -6 + -5p * -6) = 5(p + -4) + -16
-23p + (-18 + 30p) = 5(p + -4) + -16

Reorder the terms:
-18 + -23p + 30p = 5(p + -4) + -16

Combine like terms: -23p + 30p = 7p
-18 + 7p = 5(p + -4) + -16

Reorder the terms:
-18 + 7p = 5(-4 + p) + -16
-18 + 7p = (-4 * 5 + p * 5) + -16
-18 + 7p = (-20 + 5p) + -16

Reorder the terms:
-18 + 7p = -20 + -16 + 5p

Combine like terms: -20 + -16 = -36
-18 + 7p = -36 + 5p

Solving
-18 + 7p = -36 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-18 + 7p + -5p = -36 + 5p + -5p

Combine like terms: 7p + -5p = 2p
-18 + 2p = -36 + 5p + -5p

Combine like terms: 5p + -5p = 0
-18 + 2p = -36 + 0
-18 + 2p = -36

Add '18' to each side of the equation.
-18 + 18 + 2p = -36 + 18

Combine like terms: -18 + 18 = 0
0 + 2p = -36 + 18
2p = -36 + 18

Combine like terms: -36 + 18 = -18
2p = -18

Divide each side by '2'.
p = -9

Simplifying
p = -9

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