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Let's solve the linear equation step by step. The given equation is:

\[
16 - 14n = -10n - 12
\]

### Step 1: Move all terms involving \(n\) to one side.
Add \(10n\) to both sides to get all the \(n\)-terms on the left:

\[
16 - 14n + 10n = -12
\]

Simplify the left side:

\[
16 - 4n = -12
\]

### Step 2: Move the constant terms to the other side.
Subtract 16 from both sides:

\[
-4n = -12 - 16
\]

Simplify:

\[
-4n = -28
\]

### Step 3: Solve for \(n\).
Divide both sides by \(-4\):

\[
n = \frac{-28}{-4} = 7
\]

### Solution:
The solution to the equation is \(n = 7\).

Would you like further details on any step? 

Here are some follow-up questions:
1. How do you handle equations with negative coefficients?
2. What happens if both sides of the equation have constants and variables?
3. How can you verify the solution to a linear equation?
4. Why do we need to move terms involving variables to one side?
5. What is the importance of simplifying equations step by step?

**Tip:** Always double-check your work by plugging your solution back into the original equation to verify it.

Solve the linear equation symbolically: 16 - 14n = -10n - 12

Learn how to solve the linear equation 16 - 14n = -10n - 12 with a step-by-step solution. This problem covers key algebraic concepts such as combining like terms and using properties of equality. Suitable for students in Grades 7-9.

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