What is the answer to -76=-6(-7/b+1) ?

The answer to -76=-6(-7/b+1) is b=-3/5

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-76=-6(-7/b+1)

- 76 = - 6 (- \frac{7}{b} + 1)

b = - \frac{3}{5}

Decimal Notation

b = - 0.6

Solution steps

- 76 = - 6 (- \frac{7}{b} + 1)

Expand

- 6 (- \frac{7}{b} + 1) : \frac{42}{b} - 6

- 76 = \frac{42}{b} - 6

Move

6

to the left side

- 70 = \frac{42}{b}

Multiply both sides by

b

- 70 b = 42

Divide both sides by

- 70

b = - \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = - \frac{3}{5}

- \frac{1}{x ^{2}} = - \frac{1}{40}

\frac{x}{x + 1} = \frac{9}{8}

a + 5 = \frac{7 a}{x}

\frac{1 - 2}{2 y - 19} = 0

\frac{864}{x} = \frac{288}{x}