15p+69=28p-100

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Solution for 15p+69=28p-100 equation:


Simplifying
15p + 69 = 28p + -100

Reorder the terms:
69 + 15p = 28p + -100

Reorder the terms:
69 + 15p = -100 + 28p

Solving
69 + 15p = -100 + 28p

Solving for variable 'p'.

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

Add '-28p' to each side of the equation.
69 + 15p + -28p = -100 + 28p + -28p

Combine like terms: 15p + -28p = -13p
69 + -13p = -100 + 28p + -28p

Combine like terms: 28p + -28p = 0
69 + -13p = -100 + 0
69 + -13p = -100

Add '-69' to each side of the equation.
69 + -69 + -13p = -100 + -69

Combine like terms: 69 + -69 = 0
0 + -13p = -100 + -69
-13p = -100 + -69

Combine like terms: -100 + -69 = -169
-13p = -169

Divide each side by '-13'.
p = 13

Simplifying
p = 13

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