Solve for the variable: -5g – 6 = 19
A. -7
B. -5
C. 5
D. 7
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OpenStudy (anonymous):
-5g-6=19
-5g=19+6
-5g=25
-g=5
g=-5
OpenStudy (anonymous):
what did you do exactly?
OpenStudy (anonymous):
ok so anytime you have an "equation" there are 2 sides...
OpenStudy (anonymous):
let me start with a more basic example
OpenStudy (anonymous):
x+2x=1+2
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OpenStudy (anonymous):
there is a left and right side
OpenStudy (anonymous):
you combine like terms
OpenStudy (anonymous):
x+2x=1+2,
3x=3, does this make sense so far
OpenStudy (anonymous):
?????
OpenStudy (anonymous):
could you write it out?
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OpenStudy (anonymous):
yah
OpenStudy (anonymous):
here is an equation: x+2x=1+2
step 1: x+2x=1+2
step 2: 3x=3
step 3: x=3/3
step 4: x=1.
Answer: x = 1
OpenStudy (anonymous):
okay i am starting to get the idea
OpenStudy (anonymous):
now lets try the problem above...
OpenStudy (anonymous):
-5g-6=19.....
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OpenStudy (anonymous):
Equation: Let -5g-6=19,
Step 1: -5g-6=19,
Step 2: -5g=19+6... anytime you want to move a number to the other side, the sign becomes the opposite sign it was on the previous side, in other words, you change the sign...
Step 3: -5g=25,
Step 4: -5g/5=25/5..... I divided both sides by 5, whatever you do to one side, you must do to the other side.....
Step 5: -g=5
Step 6: g=-5
Hence the answer is -5.