Combine like terms to create an equivalent expression.
\[3.4-2.8d+2.8d-1.3\]
To combine like terms in the expression \[3.4-2.8d+2.8d-1.3\], we can first group the terms with the variable \(d\) together as follows:
\[(-2.8d + 2.8d) + 3.4 - 1.3\]
Notice that the terms \(-2.8d\) and \(2.8d\) have the same variable \(d\), so we can combine them:
\[0d + 3.4 - 1.3\]
Since any number multiplied by zero is zero, we can simplify \(0d\) to just 0:
\[0 + 3.4 - 1.3\]
Finally, combining the constants 3.4 and -1.3:
\[3.4 - 1.3\]
This gives us the final equivalent expression:
\[2.1\]
The given expression is already simplified and cannot be combined further. Thus, the equivalent expression is
\[3.4-1.3.\]
To combine like terms, we need to combine the constants (numbers) and the terms with the same variable(s) raised to the same power. In this case, we have the following terms:
- The constant term: -1.3
- The term with the variable d: -2.8d + 2.8d
Let's start by combining the constant terms:
\[3.4 - 1.3\]
This gives us:
\[2.1\]
Now, let's combine the terms with the variable d:
\[-2.8d + 2.8d = 0d\]
Any term with zero as its coefficient becomes zero, so we can represent this as simply zero:
\[0\]
Therefore, the combined expression becomes:
\[2.1 + 0\]
And since any number plus zero is that number itself, the equivalent expression is:
\[2.1\]