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one-step equations with negatives isolate the variable by using the inv…

Question

one-step equations with negatives
isolate the variable by using the inverse operation
1)
y + 11 = -20
-31 + 11 = -20
-20
2)
-20 + (-11)
-31
-12 = b + (-7)
multiple-choice question
what do we do to -7?
subtract negative seven from both sides
add negative 7 to both sides
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Explanation:

Step1: Identify inverse operation

To isolate $b$, undo adding $-7$ (which is subtracting 7) by adding 7, or adding the inverse of $-7$ (which is $7$) to both sides. This is equivalent to subtracting $-7$ from both sides.

Step2: Solve the equation

$$-12 + 7 = b + (-7) + 7$$
$$-5 = b$$

Step3: Match to the option

The inverse operation to cancel $-7$ is adding 7 (subtracting $-7$) to both sides, which corresponds to "Subtract negative seven from both sides".

Answer:

Subtract negative seven from both sides
$b=-5$