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brian tried to solve the equation 3k - 6 = 15. he wants to find and cor…

Question

brian tried to solve the equation 3k - 6 = 15. he wants to find and correct his error.
brian’s work is shown. where did he make
a mistake? choose the first incorrect step
in brian’s work.
step 1, because he should not have
subtracted 6 to isolate 3k
what should brian have done instead?
complete the statement.
brian should have? on both
sides to get 3k =?.
brian’s work
3k - 6 = 15
step 1 - 6 - 6
step 2 3k = 9
step 3 (3k)/3 = 9/3
step 4 k = 3

Explanation:

Step1: Analyze the equation

The equation is \(3k - 6 = 15\). To isolate \(3k\), we need to undo the subtraction of 6. The inverse operation of subtraction is addition.

Step2: Determine the correct operation

So, Brian should have added 6 to both sides. Let's do that: \(3k - 6 + 6 = 15 + 6\), which simplifies to \(3k = 21\).

Answer:

Brian should have added 6 on both sides to get \(3k = 21\).