6(p-2)=9-p

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Solution for 6(p-2)=9-p equation:


Simplifying
6(p + -2) = 9 + -1p

Reorder the terms:
6(-2 + p) = 9 + -1p
(-2 * 6 + p * 6) = 9 + -1p
(-12 + 6p) = 9 + -1p

Solving
-12 + 6p = 9 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-12 + 6p + p = 9 + -1p + p

Combine like terms: 6p + p = 7p
-12 + 7p = 9 + -1p + p

Combine like terms: -1p + p = 0
-12 + 7p = 9 + 0
-12 + 7p = 9

Add '12' to each side of the equation.
-12 + 12 + 7p = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 7p = 9 + 12
7p = 9 + 12

Combine like terms: 9 + 12 = 21
7p = 21

Divide each side by '7'.
p = 3

Simplifying
p = 3

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