Solve for 

d

.

–

14

d

+

12

d

+

11

d

+

18

=

–

18

To solve the equation \(-14d + 12d + 11d + 18 = -18\), let's follow these steps:

1. **Combine like terms** on the left side of the equation:
   \[
   (-14d + 12d + 11d) + 18 = -18
   \]
   Simplifying the terms involving \(d\):
   \[
   (-14 + 12 + 11)d + 18 = -18
   \]
   \[
   9d + 18 = -18
   \]

2. **Isolate** the term involving \(d\) by subtracting 18 from both sides:
   \[
   9d + 18 - 18 = -18 - 18
   \]
   \[
   9d = -36
   \]

3. **Solve for \(d\)** by dividing both sides by 9:
   \[
   d = \frac{-36}{9}
   \]
   \[
   d = -4
   \]

The solution is \(d = -4\).

Would you like more details or have any questions? Here are some related problems you might find interesting:

1. Solve for \(x\): \(5x - 3x + 7 = 15\).
2. Solve for \(y\): \(-8y + 4y - 12y + 20 = 4\).
3. Solve for \(z\): \(7z + 3 = 2z - 7\).
4. Solve for \(a\): \(2a + 3(5 - a) = 7\).
5. Solve for \(b\): \(-3b + 2b - b = 0\).

**Tip:** When combining like terms, pay careful attention to the signs of the coefficients.

Solve for d. –14d + 12d + 11d + 18 = –18

Discover how to solve the linear equation –14d + 12d + 11d + 18 = –18 with a step-by-step guide. This problem covers essential algebraic concepts such as combining like terms and isolating variables. Suitable for students in Grades 6-8.

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