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14. The solution shown for the equation is incorrect. a. What is the correct solution? = 316 = ) = 6 18-3L = 6 232324 whe b. What was the likely error? 8 14

14. The solution shown for the equation is incorrect. a. What is the correct solution-example-1
User Amirado
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1 Answer

20 votes
20 votes

r = 8

See explanation below

Step-by-step explanation:

a) -3(6 - r) = 6

To get the corect solution, we solve the expression

The first thing we do, is to expand the parenthesis:

-3 × 6 -3 × -r = 6

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

-18 + 3r = 6

collect like terms by adding 18 to both sides:

-18 + 18 + 3r = 6 + 18

3r = 24

divide both sides by 3:

3r/3 = 24/3

r = 8

b) The error was in the multiplication. When -3 was multiplied by -r, it was written as -3r instead of 3r. This affected the workings and the final answer.

User Rohit Chaudhari
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2.8k points