8(2 - k) - 3(1 - 4k) Sinplify each expression. please right how u did it step by step!

4k + 13

Step-by-step explanation:

Base Expression: 8(2 - k) - 3(1 - 4k)

Step 1 - Distribution:

The values in the parenthesis must be simplified -

This is done simply by distributing the value in front of the parenthesis (8) into each of the values in the parenthesis (2 and -k).

The 8 is multiplied into the 2 giving us 16

The 8 is multiplied into the -k giving us -8k

Now we are left with 16 - 8k - 3(1 - 4k).

The same distribution must now be done on the other values in the parenthesis as well -

Again, the value in front of the parenthesis (-3) must be multiplied with the values inside the parenthesis (1 - 4k)

The -3 is multiplied into the 1 giving us -3

The -3 is multiplied into the -4k giving us 12k

Now our expression is 16 - 8k - 3 + 12k

For no reason other than simplicity, let's move the values around so they are easier to add and subtract:

16 - 8k - 3 + 12k  --->  16 - 3 + 12k - 8k

(no arithmatic is done here, but it is important to preserve the signs of all the values when moving them around)

From here we simply subtract the values to fully simplify the expression:

16 - 3 = 13

12k - 8k = 4k

4k + 13 is the final and most simplified expression of the original expression (without knowing the value for k)

P.S.: 13 + 4k is also technically correct, but, it's most often proper ettiquite (and often the simplest) to put more complex monomials (numbers) first in the expression.

Ex: 2x² + 6x + 8 rather than 8 + 2x² + 6x.

Hope this was comprehensive and helpful, good luck!

.25

step-by-step explanation: