17p-6=3(8p+5)

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Solution for 17p-6=3(8p+5) equation:


Simplifying
17p + -6 = 3(8p + 5)

Reorder the terms:
-6 + 17p = 3(8p + 5)

Reorder the terms:
-6 + 17p = 3(5 + 8p)
-6 + 17p = (5 * 3 + 8p * 3)
-6 + 17p = (15 + 24p)

Solving
-6 + 17p = 15 + 24p

Solving for variable 'p'.

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

Add '-24p' to each side of the equation.
-6 + 17p + -24p = 15 + 24p + -24p

Combine like terms: 17p + -24p = -7p
-6 + -7p = 15 + 24p + -24p

Combine like terms: 24p + -24p = 0
-6 + -7p = 15 + 0
-6 + -7p = 15

Add '6' to each side of the equation.
-6 + 6 + -7p = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -7p = 15 + 6
-7p = 15 + 6

Combine like terms: 15 + 6 = 21
-7p = 21

Divide each side by '-7'.
p = -3

Simplifying
p = -3

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