2(k -4) - 3(2k -1)
Expanding the expression, we have:
2(k - 4) - 3(2k - 1)
= 2k - 8 - 6k + 3
= -4k - 5
To simplify the given expression, we can use the distributive property and combine like terms.
Step 1: Distribute the 2 to the terms inside the first set of parentheses.
2(k - 4) becomes 2k - 8.
Step 2: Distribute the -3 to the terms inside the second set of parentheses.
-3(2k - 1) becomes -6k + 3.
Now we can combine the like terms.
Step 3: Combine the like terms on the right side of the expression.
2k - 6k = -4k.
Step 4: Combine the constants on the right side of the expression.
-8 + 3 = -5.
Putting it all together, the simplified expression is:
2(k - 4) - 3(2k - 1) = -4k - 5.
To simplify the given expression, you need to apply the distributive property and combine the like terms. Let's break it down step by step:
1. Start with the given expression: 2(k - 4) - 3(2k - 1)
2. Apply the distributive property to the first set of parentheses: 2 * k - 2 * 4
This simplifies to: 2k - 8
3. Next, apply the distributive property to the second set of parentheses: -3 * 2k + 3 * 1
This simplifies to: -6k + 3
4. Now, substitute the simplified expressions back into the original expression: 2k - 8 - 6k + 3
5. Combine the like terms: (2k - 6k) + (-8 + 3)
Simplifying this further: -4k - 5
So, the simplified form of the expression 2(k - 4) - 3(2k - 1) is -4k - 5.