2(p-7)=9(p+4)

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Solution for 2(p-7)=9(p+4) equation:


Simplifying
2(p + -7) = 9(p + 4)

Reorder the terms:
2(-7 + p) = 9(p + 4)
(-7 * 2 + p * 2) = 9(p + 4)
(-14 + 2p) = 9(p + 4)

Reorder the terms:
-14 + 2p = 9(4 + p)
-14 + 2p = (4 * 9 + p * 9)
-14 + 2p = (36 + 9p)

Solving
-14 + 2p = 36 + 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.
-14 + 2p + -9p = 36 + 9p + -9p

Combine like terms: 2p + -9p = -7p
-14 + -7p = 36 + 9p + -9p

Combine like terms: 9p + -9p = 0
-14 + -7p = 36 + 0
-14 + -7p = 36

Add '14' to each side of the equation.
-14 + 14 + -7p = 36 + 14

Combine like terms: -14 + 14 = 0
0 + -7p = 36 + 14
-7p = 36 + 14

Combine like terms: 36 + 14 = 50
-7p = 50

Divide each side by '-7'.
p = -7.142857143

Simplifying
p = -7.142857143

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