expand and simplify 4(3k-2)+3(4-k)
4(3k-2)+3(4-k)
12k - 8 + 12 - 3k
9k + 4
To expand and simplify the expression 4(3k-2) + 3(4-k), you need to apply the distributive property to each term within the parentheses.
Let's start by simplifying the expression inside the first set of parentheses: 3k - 2.
Next, you'll distribute the 4 to each term inside the parentheses: 4 * 3k = 12k, and 4 * -2 = -8. So, the first term becomes 12k - 8.
Moving on to the second set of parentheses: 4 - k.
Similarly, you'll distribute the 3 to each term inside the parentheses: 3 * 4 = 12, and 3 * -k = -3k. So, the second term becomes 12 - 3k.
Now that we've distributed the terms, we can rewrite the expression as follows:
4(3k-2) + 3(4-k) = 12k - 8 + 12 - 3k
Finally, combine like terms:
12k - 8 + 12 - 3k = (12k - 3k) + (-8 + 12) = 9k + 4
Therefore, the expanded and simplified form of 4(3k-2) + 3(4-k) is 9k + 4.