5p+7-2(p-5)=2

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Solution for 5p+7-2(p-5)=2 equation:


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

Reorder the terms:
5p + 7 + -2(-5 + p) = 2
5p + 7 + (-5 * -2 + p * -2) = 2
5p + 7 + (10 + -2p) = 2

Reorder the terms:
7 + 10 + 5p + -2p = 2

Combine like terms: 7 + 10 = 17
17 + 5p + -2p = 2

Combine like terms: 5p + -2p = 3p
17 + 3p = 2

Solving
17 + 3p = 2

Solving for variable 'p'.

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

Add '-17' to each side of the equation.
17 + -17 + 3p = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 3p = 2 + -17
3p = 2 + -17

Combine like terms: 2 + -17 = -15
3p = -15

Divide each side by '3'.
p = -5

Simplifying
p = -5

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