2p-5(p-9)=27

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Solution for 2p-5(p-9)=27 equation:


Simplifying
2p + -5(p + -9) = 27

Reorder the terms:
2p + -5(-9 + p) = 27
2p + (-9 * -5 + p * -5) = 27
2p + (45 + -5p) = 27

Reorder the terms:
45 + 2p + -5p = 27

Combine like terms: 2p + -5p = -3p
45 + -3p = 27

Solving
45 + -3p = 27

Solving for variable 'p'.

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

Add '-45' to each side of the equation.
45 + -45 + -3p = 27 + -45

Combine like terms: 45 + -45 = 0
0 + -3p = 27 + -45
-3p = 27 + -45

Combine like terms: 27 + -45 = -18
-3p = -18

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

Simplifying
p = 6

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