Solve for *g*.

–1.8(*g* + 1) = 0

*g* =

To solve for \( g \) in the equation:

\[
-1.8(g + 1) = 0
\]

Follow these steps:

1. Divide both sides of the equation by \(-1.8\):
   \[
   g + 1 = \frac{0}{-1.8}
   \]
   \[
   g + 1 = 0
   \]

2. Subtract 1 from both sides:
   \[
   g = 0 - 1
   \]
   \[
   g = -1
   \]

Thus, \( g = -1 \).

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How would the solution change if the constant was different, e.g., \(-1.8(g + 1) = 5\)?
2. What happens if we multiply both sides by a non-zero factor?
3. How would you solve a similar equation with different coefficients, like \(-2.5(g + 3) = 0\)?
4. Can you generalize the solution for any equation of the form \( a(g + b) = 0 \)?
5. How do we solve for \( g \) when the equation involves fractions?

**Tip**: When solving linear equations, always first isolate the variable term by eliminating any constants or coefficients.

Learn how to solve the linear equation –1.8(g + 1) = 0 with step-by-step instructions. This problem highlights fundamental algebraic concepts such as isolating the variable and applying the zero-product property. Ideal for students in Grades 6-8.

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