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How do you simplify #5(3.4k-7)+(3k+21)#?

Answer 1

Abigail Allen

#20k - 14#

#5(3.4k-7) + (3k + 21)#

To simplify this, use the distributive property:

Following this image, we know that:
#color(blue)(5(3.4k-7) = (5 * 3.4k) + (5 * -7) = 17k - 35)#

Put it back into the expression:
#17k - 35 + 3k + 21#

Combine like terms:
#20k - 14#

Hope this helps!

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Answer 2

Eli Assouline

To simplify the expression (5(3.4k - 7) + (3k + 21)), distribute the 5 to the terms inside the parentheses and then combine like terms:

[5(3.4k - 7) + (3k + 21)] [= 5(3.4k) - 5(7) + 3k + 21] [= 17k - 35 + 3k + 21] [= (17k + 3k) + (-35 + 21)] [= 20k - 14]

So, the simplified expression is (20k - 14).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.