9(p-6)=7(5p-8)+2

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Solution for 9(p-6)=7(5p-8)+2 equation:


Simplifying
9(p + -6) = 7(5p + -8) + 2

Reorder the terms:
9(-6 + p) = 7(5p + -8) + 2
(-6 * 9 + p * 9) = 7(5p + -8) + 2
(-54 + 9p) = 7(5p + -8) + 2

Reorder the terms:
-54 + 9p = 7(-8 + 5p) + 2
-54 + 9p = (-8 * 7 + 5p * 7) + 2
-54 + 9p = (-56 + 35p) + 2

Reorder the terms:
-54 + 9p = -56 + 2 + 35p

Combine like terms: -56 + 2 = -54
-54 + 9p = -54 + 35p

Add '54' to each side of the equation.
-54 + 54 + 9p = -54 + 54 + 35p

Combine like terms: -54 + 54 = 0
0 + 9p = -54 + 54 + 35p
9p = -54 + 54 + 35p

Combine like terms: -54 + 54 = 0
9p = 0 + 35p
9p = 35p

Solving
9p = 35p

Solving for variable 'p'.

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

Add '-35p' to each side of the equation.
9p + -35p = 35p + -35p

Combine like terms: 9p + -35p = -26p
-26p = 35p + -35p

Combine like terms: 35p + -35p = 0
-26p = 0

Divide each side by '-26'.
p = 0

Simplifying
p = 0

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