p-(p+13)=9(p-3)+5p

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Solution for p-(p+13)=9(p-3)+5p equation:


Simplifying
p + -1(p + 13) = 9(p + -3) + 5p

Reorder the terms:
p + -1(13 + p) = 9(p + -3) + 5p
p + (13 * -1 + p * -1) = 9(p + -3) + 5p
p + (-13 + -1p) = 9(p + -3) + 5p

Reorder the terms:
-13 + p + -1p = 9(p + -3) + 5p

Combine like terms: p + -1p = 0
-13 + 0 = 9(p + -3) + 5p
-13 = 9(p + -3) + 5p

Reorder the terms:
-13 = 9(-3 + p) + 5p
-13 = (-3 * 9 + p * 9) + 5p
-13 = (-27 + 9p) + 5p

Combine like terms: 9p + 5p = 14p
-13 = -27 + 14p

Solving
-13 = -27 + 14p

Solving for variable 'p'.

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

Add '-14p' to each side of the equation.
-13 + -14p = -27 + 14p + -14p

Combine like terms: 14p + -14p = 0
-13 + -14p = -27 + 0
-13 + -14p = -27

Add '13' to each side of the equation.
-13 + 13 + -14p = -27 + 13

Combine like terms: -13 + 13 = 0
0 + -14p = -27 + 13
-14p = -27 + 13

Combine like terms: -27 + 13 = -14
-14p = -14

Divide each side by '-14'.
p = 1

Simplifying
p = 1

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