Use the drop-down menus to choose steps in order to correctly solve
3 + 4d – 14 = 15 – 5d – 4d
4d – 11 = 15 – 9d
Options:
1)
2)
3)
Use the drop-down menus to choose steps in order to correctly solve
3 + 4d – 14 = 15 – 5d – 4d
4d – 11 = 15 – 9d
Options:
1)
2)
3)
To solve the equation (3 + 4d – 14 = 15 – 5d – 4d), follow these steps:
1. Combine like terms: On the left side, combine (3) and (-14) to get (-11). On the right side, combine (-5d) and (-4d) to get (-9d). The equation now looks like this:
(-11 + 4d = 15 – 9d)
2. Add (9d) to both sides: This allows us to get all the (d) terms on one side:
(-11 + 4d + 9d = 15)
This simplifies to:
(-11 + 13d = 15)
3. Add (11) to both sides: This isolates (d):
(13d = 15 + 11)
Thus:
(13d = 26)
4. Divide by (13): To solve for (d), we divide both sides by (13):
(d = frac{26}{13})
Which simplifies to:
(d = 2)
Therefore, the solution to the equation is (d = 2). Good job making progress on this problem