What is the answer to -1/2 d=3(2/3 d-1)+2(1/6 d+2) ?

The answer to -1/2 d=3(2/3 d-1)+2(1/6 d+2) is d=-6/17

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-1/2 d=3(2/3 d-1)+2(1/6 d+2)

- \frac{1}{2} d = 3 (\frac{2}{3} d - 1) + 2 (\frac{1}{6} d + 2)

d = - \frac{6}{17}

Decimal Notation

d = - 0.35294 \dots

Solution steps

- \frac{1}{2} d = 3 (\frac{2}{3} d - 1) + 2 (\frac{1}{6} d + 2)

Expand

3 (\frac{2}{3} d - 1) + 2 (\frac{1}{6} d + 2) : \frac{7}{3} d + 1

- \frac{1}{2} d = \frac{7}{3} d + 1

Move

\frac{7}{3} d

to the left side

- \frac{17}{6} d = 1

Multiply both sides by

6

- 17 d = 6

Divide both sides by

- 17

d = - \frac{6}{17}

\frac{4}{9} x + \frac{1}{5} x = 87

\frac{x + 2}{3} = 4

\frac{1}{2} x - 12 = - 14

x, 2 x - 5 y = 15

5 x + 2 = 52

What is the answer to -1/2 d=3(2/3 d-1)+2(1/6 d+2) ?
The answer to -1/2 d=3(2/3 d-1)+2(1/6 d+2) is d=-6/17
Solve for d: -1/2 d=3(2/3 d-1)+2(1/6 d+2)
The solution is d=-6/17