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3 years ago

-16 + 5n = -7(-6 + 8n) + 3

Mathematics

1 answer:

mars1129 [50]3 years ago

6 0

Answer:

n = 1

Step-by-step explanation:

Let's solve for 16 + 5n = -7(-6 + 8n) + 3.

Step one : distribute the -7 through the parentheses

-16 + 5n = 42 - 56n + 3

Step two add 42 and 3, which gives you 45.

-16 + 5n = 45 - 56n

Step three : move the variable to the left - hand side and change its sign.

-16 + 5n + 56n = 45

Step four : move the constant to the right - hand side and change its sign.

5n + 56n = 45 + 16

Step five : collect like terms and add 5n plus 56n, which gives you 61n.

61n = 45 + 16

Step six : add 45 and 16 , which gives you 61.

61n = 61

Step seven : Divid both sides of the eqaution by 61.

61n ÷ 61 = 61 ÷ 61

Therefore, your final answer is n = 1 .

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