![d=(35)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/7kmsji1hzb1l3ukqw7fkfvclfbpaqijnt1.png)
Step-by-step explanation
we have a equation with 1 unknow value( d), so to find this we need to isolate d
![35=3d+6d](https://img.qammunity.org/2023/formulas/mathematics/college/d08cpu2j4qmvex731ex9mz3q35gca18iq2.png)
Step 1
add like terms
![\begin{gathered} 35=3d+6d \\ 35=9d \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6t7n5j27ec1qw41ptn6az16yrz97lpndr6.png)
Step 2
Division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal,
hence , divide both sides by 9
![\begin{gathered} 35=9d \\ (35)/(9)=(9d)/(9) \\ (35)/(9)=d \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/d44vexlamlulv0fxrzd5swgs6hu3kvo9if.png)
therefore, the value for d is
![d=(35)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/7kmsji1hzb1l3ukqw7fkfvclfbpaqijnt1.png)
I hope this helps you