Question

What is d for 3 4d–14=15–5d–4d

Answer 1

To solve the equation 3(4d) – 14 = 15 – 5d – 4d, we need to simplify the equation and isolate d. The value of d is 29/21.

Step-by-step explanation:

To find the value of d in equation 3(4d) – 14 = 15 – 5d – 4d, we need to simplify the equation and isolate d on one side of the equation. Let's start:

1. Expand the brackets: 12d - 14 = 15 - 9d
2. Combine like terms: 12d + 9d = 15 + 14
3. Combine the d terms: 21d = 29
4. Isolate d by dividing both sides of the equation by 21: d = 29/21

Therefore, the value of d in the equation is 29/21.

Answer 2

Simplifying3 + 4d + -14 = 15 + -5d + -4d

Reorder the terms:3 + -14 + 4d = 15 + -5d + -4d

Combine like terms: 3 + -14 = -11-11 + 4d = 15 + -5d + -4d


Combine like terms: -5d + -4d = -9d-11 + 4d = 15 + -9d

Solving-11 + 4d = 15 + -9d

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.


Add '9d' to each side of the equation.-11 + 4d + 9d = 15 + -9d + 9d

Combine like terms: 4d + 9d = 13d-11 + 13d = 15 + -9d + 9d

Combine like terms: -9d + 9d = 0-11 + 13d = 15 + 0-11 + 13d = 15

Add '11' to each side of the equation.-11 + 11 + 13d = 15 + 11

Combine like terms: -11 + 11 = 00 + 13d = 15 + 1113d = 15 + 11

Combine like terms: 15 + 11 = 2613d = 26

Divide each side by '13'.d = 2

Simplified = 2


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