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The given expression is:

\[
6h + (-7.7d) - 18 + 5d - 3.3h
\]

Let's simplify this step-by-step:

1. Combine like terms for the variable \( h \):
   \[
   6h - 3.3h = 2.7h
   \]

2. Combine like terms for the variable \( d \):
   \[
   -7.7d + 5d = -2.7d
   \]

3. The constant term is \(-18\).

So, the simplified expression is:

\[
2.7h - 2.7d - 18
\]

This is the simplified form of the given expression.

Do you have any questions or need further clarification?

Here are 5 related questions you can explore:
1. How can you combine like terms when the coefficients are decimals?
2. How would the simplification change if there were no constant term in the expression?
3. How do you simplify expressions with multiple variables?
4. What if the signs of all the terms were reversed? How would the simplification work?
5. What are the rules for distributing negative signs in similar expressions?

**Tip:** Always group and combine like terms (those with the same variable) when simplifying an expression.

Learn how to simplify the algebraic expression 6h + (-7.7d) - 18 + 5d - 3.3h by combining like terms and handling decimal coefficients. This step-by-step solution walks through key concepts like combining terms and simplifying complex expressions. Suitable for students in Grades 7-9.

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