137k views
5 votes
What is d for 3 4d–14=15–5d–4d

User AllenG
by
7.8k points

2 Answers

6 votes

Final answer:

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.

User Piidro
by
8.9k points
5 votes

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 = 0
0 + 13d = 15 + 1113d = 15 + 11

Combine like terms: 15 + 11 = 26
13d = 26

Divide each side by '13'.
d = 2

Simplifi
ed = 2


Hope This Helps! Do what you love, Love what you do! ~GlitterWolfy~
User Jeffrey Cash
by
7.8k points