6p=8(4p+9)

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Solution for 6p=8(4p+9) equation:


Simplifying
6p = 8(4p + 9)

Reorder the terms:
6p = 8(9 + 4p)
6p = (9 * 8 + 4p * 8)
6p = (72 + 32p)

Solving
6p = 72 + 32p

Solving for variable 'p'.

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

Add '-32p' to each side of the equation.
6p + -32p = 72 + 32p + -32p

Combine like terms: 6p + -32p = -26p
-26p = 72 + 32p + -32p

Combine like terms: 32p + -32p = 0
-26p = 72 + 0
-26p = 72

Divide each side by '-26'.
p = -2.769230769

Simplifying
p = -2.769230769

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