-15 + 4/5(15e - 10) - 10e
To simplify the expression, we can start by distributing the 4/5 to the terms inside the parentheses:
-15 + 4/5(15e - 10) - 10e = -15 + (4/5)(15e) - (4/5)(10) - 10e
Now we can multiply:
-15 + (4/5)(15e) - (4/5)(10) - 10e = -15 + (12e/5) - (8/5) - 10e
Next, we can combine like terms:
-15 + (12e/5) - (8/5) - 10e = (-15 - (8/5)) + (12e/5) - 10e
Now, let's find a common denominator for the fractions:
(-15 - (8/5)) + (12e/5) - 10e = (-75/5 - (8/5)) + (12e/5) - 10e
Combining the fractions:
-75/5 - 8/5 = -83/5
So, the expression simplifies to:
(-75/5 - (8/5)) + (12e/5) - 10e = -83/5 + (12e/5) - 10e
Therefore, the simplified expression is -83/5 + (12e/5) - 10e.
To simplify the expression -15 + 4/5(15e - 10) - 10e, we will follow the order of operations:
Step 1: Simplify the expression inside parentheses.
15e - 10 simplifies to 15e - 10.
Step 2: Multiply 4/5 by (15e - 10).
4/5 * (15e - 10) is equal to (4/5) * 15e - (4/5) * 10.
This becomes 12e - 8.
Step 3: Replace the simplified expression back into the original expression.
The expression becomes -15 + 12e - 8 - 10e.
Step 4: Combine like terms.
-15 - 8 simplifies to -23.
12e - 10e simplifies to 2e.
The final simplified expression is:
-23 + 2e.
To simplify the expression:
-15 + 4/5(15e - 10) - 10e
We can follow the order of operations (PEMDAS/BODMAS) to evaluate the expression step by step:
Step 1: Simplify within parentheses (if any)
Within the parentheses, we have 15e - 10.
Step 2: Apply the distributive property
Multiply 4/5 by each term within the parentheses:
4/5 * 15e = (4 * 15 * e) / 5 = (60e) / 5 = 12e
4/5 * -10 = (4 * -10) / 5 = -40 / 5 = -8
Now our expression becomes: -15 + 12e - 8 - 10e
Step 3: Combine like terms
Combine the terms that have the same variable, e:
12e - 10e = (12 - 10)e = 2e
Now our expression becomes: -15 + 2e - 8
Step 4: Combine the remaining constant terms
-15 - 8 = -23
Now our simplified expression is: 2e - 23.