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Simplify the following expression. -6โข(12โข๐‘ฅ-16โข๐‘ฆ)+6โข(-12โข๐‘ฅ-56โข๐‘ฆ)=

Question

Simplify the following expression. -6โข(12โข๐‘ฅ-16โข๐‘ฆ)+6โข(-12โข๐‘ฅ-56โข๐‘ฆ)=

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Solution

First, distribute -6 to the terms inside the first parentheses:

-6 * 12x = -72x -6 * -16y = 96y

So, -6(12x - 16y) simplifies to -72x + 96y.

Next, distribute 6 to the terms inside the second parentheses:

6 * -12x = -72x 6 * -56y = -336y

So, 6(-12x - 56y) simplifies to -72x - 336y.

Finally, combine like terms:

-72x + 96y - 72x - 336y = -144x - 240y

So, -6(12x - 16y) + 6(-12x - 56y) simplifies to -144x - 240y.

This problem has been solved

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