[tex] \frac{5(2k - 3)-3(k + 4)}{3k+2} [/tex]
- Substitute -2 for k into the expression.
[tex] \frac{5[2(-2) - 3]-3[(-2) + 4]}{3(-2)+2} [/tex]
- Solve inside the parentheses first.
- Multiply 2 * (-2) in the first parentheses, and add (-2) + 4 in the second parentheses. Multiply 3 * (-2) on the bottom.
[tex] \frac{5(-4 - 3) - 3(2)}{-6+2} [/tex]
- Solve inside the first parentheses.
- Add -6 + 2.
[tex] \frac{5(-7) - 3(2)}{-4} [/tex]
- Multiply 5 * (-7) and 3 * (2).
[tex] \frac{(-35) - (6)}{-4} [/tex]
[tex] \frac{(-41)}{-4} [/tex]
- -41/-4 is the same as 41/4, and 41/4 cannot be simplified further, so:
Your answer is 41/4.
