17p=3(p-5)+8

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


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

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

Reorder the terms:
17p = -15 + 8 + 3p

Combine like terms: -15 + 8 = -7
17p = -7 + 3p

Solving
17p = -7 + 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.
17p + -3p = -7 + 3p + -3p

Combine like terms: 17p + -3p = 14p
14p = -7 + 3p + -3p

Combine like terms: 3p + -3p = 0
14p = -7 + 0
14p = -7

Divide each side by '14'.
p = -0.5

Simplifying
p = -0.5

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