Answer:
d = 5
Step-by-step explanation:
1.Combine multiplied terms into a single fraction
2.5d + 9.75 = 1 + 4.25d
5d/2+9.75 = 1+4.25d
2.Combine multiplied terms into a single fraction
5d/2 + 9.75 = 1 + 4.25d
5d/2 + 9.75 = 1 + 17d / 4
3.Subtract 9.75 from both sides of the equation
5d/2+9.75 = 1 + 17d/4
5d/2 +9.75 - 9.75 = 1 + 17d/ 4 - 9.75
4.Simplify
Subtract the numbers
Subtract the numbers
5d/2 = -8.75 +17d/4
5. Multiply all terms by the same value to eliminate fraction denominators
5d/2 = -8.75 + 17d/4
2 * 2 * 5d/2 = 2 * 2( -8.75 + 17d/4)
6. Simplify
Cancel multiplied terms that are in the denominator
Multiply the numbers
Multiply the numbers
Distribute
Cancel multiplied terms that are in the denominator
Rearrange terms
10d = 17d - 35
7. Subtract 17d from both sides of the equation
10d = 17d - 35
10d - 17d = 17d - 35 - 17d
8. Simplify
Combine like terms
Combine like terms
-7d = -35
9. Divide both sides of the equation by the same term
-7d = -35
-7d/7 = -35/-7
10. Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
d = -35/-7
d=5
