**Combine like terms to create an equivalent expression.**
*Enter any coefficients as simplified proper or improper fractions or integers.*

\[2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac{3}5\]

To combine like terms and simplify the given expression, let's follow these steps:

### Given Expression:

\[
2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac{3}{5}
\]

### Step 1: Distribute the 2 across the terms inside the parentheses:

\[
2 \times \dfrac{1}{5}m - 2 \times \dfrac{2}{5} = \dfrac{2}{5}m - \dfrac{4}{5}
\]

So, the expression becomes:

\[
\dfrac{2}{5}m - \dfrac{4}{5} + \dfrac{3}{5}
\]

### Step 2: Combine like terms:

Combine the constants \(-\dfrac{4}{5}\) and \(\dfrac{3}{5}\):

\[
\dfrac{2}{5}m - \left(\dfrac{4}{5} - \dfrac{3}{5}\right) = \dfrac{2}{5}m - \dfrac{1}{5}
\]

### Final Simplified Expression:

\[
\dfrac{2}{5}m - \dfrac{1}{5}
\]

This is the simplified expression after combining like terms.

Would you like further details or have any questions? Here are five related questions for practice:

1. Simplify: \(\dfrac{3}{4}x + \dfrac{1}{2}x\).
2. Combine like terms: \(3y - 4 + 5y + 2\).
3. Simplify: \(4\left(\dfrac{2}{3}n - \dfrac{1}{6}\right) + \dfrac{5}{6}\).
4. Combine and simplify: \(\dfrac{7}{8}p - \dfrac{1}{4}p + \dfrac{3}{8}p\).
5. Simplify: \(\dfrac{2}{7}a + \dfrac{3}{7}a - \dfrac{5}{7}\).

**Tip:** When combining like terms, always pay attention to the signs (positive or negative) in front of each term!

Learn how to combine like terms and simplify the expression 2(1/5m - 2/5) + 3/5 with a step-by-step solution. This problem involves basic algebraic operations, suitable for students in Grades 7-9.

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