To solve the equation 4.8d + 5.91 + 13.2d = 150, we can combine like terms and isolate the variable 'd'.
First, combine the terms containing 'd':
4.8d + 13.2d = 4.8d + 13.2d
This simplifies to:
18d = 4.8d + 13.2d
Next, combine the numerical terms:
18d = 4.8d + 13.2d + 5.91
Using the commutative property of addition, we can rearrange the right side:
18d = (4.8d + 5.91) + 13.2d
Now, combine like terms:
18d = 4.8d + 13.2d + 5.91
18d = (4.8 + 13.2)d + 5.91
18d = 18d + 5.91
Now, subtract 18d from both sides of the equation to isolate the numerical term:
18d - 18d = 18d + 5.91 - 18d
0d = 5.91
Since any number multiplied by 0 equals 0, the equation has no solution:
0 = 5.91
Thus, there is no value of 'd' that satisfies the equation 4.8d + 5.91 + 13.2d = 150.
