This topic is calldd solving simple fractional equations can you please answer what is 3p/5 - 6 = p
asked Nov 15, 2016 in Other Math Topics by Zack

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1 Answer

This should help:

Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)

Reorder the terms:
-1 + 3p = 5(p + -1) + -2(7 + -2p)

Reorder the terms:
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)

Reorder the terms:
-1 + 3p = -5 + -14 + 5p + 4p

Combine like terms: -5 + -14 = -19
-1 + 3p = -19 + 5p + 4p

Combine like terms: 5p + 4p = 9p
-1 + 3p = -19 + 9p

Solving
-1 + 3p = -19 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19

Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1

Combine like terms: -19 + 1 = -18
-6p = -18

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

Simplifying
p = 3
answered Nov 15, 2016 by Mathical Level 10 User (57,540 points)

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