Sure! Let's solve the equation [tex]\(-5d + 11 = 8 - 3d\)[/tex] step-by-step.
1. Start with the given equation:
[tex]\[-5d + 11 = 8 - 3d\][/tex]
2. Combine all terms involving [tex]\(d\)[/tex] on one side of the equation:
We add [tex]\(3d\)[/tex] to both sides to move the [tex]\(d\)[/tex] terms to the left:
[tex]\[-5d + 11 + 3d = 8 - 3d + 3d\][/tex]
3. Simplify the left-hand side by combining like terms:
[tex]\[-5d + 3d + 11 = 8\][/tex]
4. Combine the [tex]\(d\)[/tex] terms on the left-hand side:
[tex]\[-2d + 11 = 8\][/tex]
5. Isolate the term with [tex]\(d\)[/tex] by subtracting 11 from both sides:
[tex]\[-2d + 11 - 11 = 8 - 11\][/tex]
6. Simplify both sides:
[tex]\[-2d = -3\][/tex]
7. Solve for [tex]\(d\)[/tex] by dividing both sides by -2:
[tex]\[d = \frac{-3}{-2}\][/tex]
8. Simplify the fraction:
[tex]\[d = 1.5\][/tex]
So, the value of [tex]\(d\)[/tex] is [tex]\(1.5\)[/tex].
