4(2p)=2(8p+6)

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Solution for 4(2p)=2(8p+6) equation:


Simplifying
4(2p) = 2(8p + 6)

Remove parenthesis around (2p)
4 * 2p = 2(8p + 6)

Multiply 4 * 2
8p = 2(8p + 6)

Reorder the terms:
8p = 2(6 + 8p)
8p = (6 * 2 + 8p * 2)
8p = (12 + 16p)

Solving
8p = 12 + 16p

Solving for variable 'p'.

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

Add '-16p' to each side of the equation.
8p + -16p = 12 + 16p + -16p

Combine like terms: 8p + -16p = -8p
-8p = 12 + 16p + -16p

Combine like terms: 16p + -16p = 0
-8p = 12 + 0
-8p = 12

Divide each side by '-8'.
p = -1.5

Simplifying
p = -1.5

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