can you please help me on -6(k-3)=-27+3k
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the numerical expression:
-6(k-3)=-27+3k
Solution:
In order to solve the numerical expression, we distribute first -6 on each value on the parenthesis. It must be taken to note that when a negative number is multiplied or introduced to a negative number, the sign becomes positive. It is a general rule that opposite signs will result to a negative number, while the same signs will result to a positive number.
-6(k-3)=-27+3k
-6k + 3 = 27 + 3k
Transpose -6k + 3k on the other side of the equation. Note that in transposing a number, the sign changes.
= 27 + 3k + 6k -3
=9k -24
To find for the value of k, we transpose -24 on the other side and divide both sides by 9.
24 = 9k
k = 24/9 or 7/3
Final answer:
Simplified form:9k -24
k = 7/3