Pre-Algebra Examples

$- | b + 4 | + 1 = 10$

Step 1

Move all terms not containing $| b + 4 |$ to the right side of the equation.

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Step 1.1

Subtract $1$ from both sides of the equation.

$- | b + 4 | = 10 - 1$

Step 1.2

Subtract $1$ from $10$ .

$- | b + 4 | = 9$

Step 2

Divide each term in $- | b + 4 | = 9$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- | b + 4 | = 9$ by $- 1$ .

$\frac{- | b + 4 |}{- 1} = \frac{9}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{| b + 4 |}{1} = \frac{9}{- 1}$

Step 2.2.2

Divide $| b + 4 |$ by $1$ .

$| b + 4 | = \frac{9}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $9$ by $- 1$ .

$| b + 4 | = - 9$

Step 3

There is no value of $b$ that makes the equation be true since an absolute value can never be negative.

No solution