What is -9d-4(-3d-3)>= 6d+6+6d ?

The solution to -9d-4(-3d-3)>= 6d+6+6d is d<= 2/3

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-9d-4(-3d-3)>= 6d+6+6d

- 9 d - 4 (- 3 d - 3) \geq 6 d + 6 + 6 d

d \leq \frac{2}{3}

Interval Notation

(- \infty, \frac{2}{3}]

Decimal Notation

d \leq 0.66666 \dots

Solution steps

- 9 d - 4 (- 3 d - 3) \geq 6 d + 6 + 6 d

Group like terms

- 9 d - 4 (- 3 d - 3) \geq 6 d + 6 d + 6

Add similar elements:

6 d + 6 d = 12 d

- 9 d - 4 (- 3 d - 3) \geq 12 d + 6

Expand

- 4 (- 3 d - 3) : 12 d + 12

- 9 d + 12 d + 12 \geq 12 d + 6

Add similar elements:

- 9 d + 12 d = 3 d

3 d + 12 \geq 12 d + 6

Move

12

to the right side

3 d \geq 12 d - 6

Move

12 d

to the left side

- 9 d \geq - 6

Multiply both sides by

- 1

9 d \leq 6

Divide both sides by

9

d \leq \frac{2}{3}

∣ x - 9 ∣ = - 5

8 - 2 n = 2

x^{2} - (3 y + 2)^{2}

∣ x + 2 ∣ > 18

x^{2} + (- \frac{3 x}{7})^{2} = 16

What is -9d-4(-3d-3)>= 6d+6+6d ?
The solution to -9d-4(-3d-3)>= 6d+6+6d is d<= 2/3