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How do you solve -14+6b+7-2b=1+5b

User Kiley Naro
by
5.2k points

2 Answers

4 votes

Answer:

b=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

7b

7

=

−21

7

b=−3

User Nickrak
by
5.4k points
2 votes
Step 1: Rewrite the equation

-14+6b+7-2B=1+5b


Step 2: Combine like terms


-14+6b+7-2b=1+5b

-7+4b=1+5b


Step 3: To isolate b, first add 7 on both sides

-7+4b=1+5b
+7 +7
_________
4b=8+5b


Step 4: Again, trying to isolate b, subtract 5b on both sides

4b=8+5b
-5b -5b
_______
-b=8

Step 5 (final step): Because the variable cannot be negative for a final answer, multiply each number by -1.

-1(-b=8)

b= -8


Final Answer: b=-8

Hope this helps :)
User Swornabsent
by
5.0k points