ANSWER
EXPLANATION
We want to solve
[tex]0.5(7d+4)=7-1.5d[/tex]
Let us first multiply through by [tex]10[/tex] to clear the decimal.
[tex]10\times 0.5(7d+4)=7\times 10 -1.5d\times 10[/tex]
This implies that;
[tex]5(7d+4)=70 -15d[/tex]
We now expand to obtain;
[tex]35d+20=70 -15d[/tex]
We group like terms to obtain;
[tex]35d+15d=70 -20[/tex]
[tex]50d=50[/tex]
Dividing through by 50 gives;
[tex]d=1[/tex]
Answer:
The value of the equation for d is 1.
Step-by-step explanation:
Consider the provide equation.
[tex]0.5(7d+4)=7-1.5d[/tex]
We need to solve the equation for d.
Open the parentheses.
[tex]3.5d+2=7-1.5d[/tex]
Add 1.5d both sides.
[tex]3.5d+1.5d+2=7-1.5d+1.5d[/tex]
[tex]5d+2=7[/tex]
Subtract 2 from both sides.
[tex]5d+2-2=7-2[/tex]
[tex]5d=5[/tex]
Divide both the sides by 5.
[tex]d=1[/tex]
Hence, the value of the equation for d is 1.
