If 3(w−2)=-8, what is the value of w?

To solve for w, we need to isolate w on one side of the equation. First, let's distribute the 3 to the term inside the parenthesis:

3w - 6 = -8

Next, we will add 6 to both sides to eliminate the -6:

3w = -2

Finally, we will divide both sides by 3 to isolate w:

w = -2/3

Therefore, the value of w is -2/3.

If x=2 and t=4, what is the value of 18(x3−4)(t2+8)?

First, let's substitute the given values into the expression:

18(2^3 - 4)(4^2 + 8)

Simplifying the exponents inside the parenthesis:

18(8 - 4)(16 + 8)

Performing the arithmetic inside each set of parenthesis first:

18(4)(24)

Multiplying across:

= 18 x 4 x 24

= 1728

Therefore, the value of 18(x^3 - 4)(t^2 + 8) when x=2 and t=4 is 1728.

If x=2 and t=4, what is the value of 18(x3−4)(t2+8)?

First, let's substitute the given values into the expression:

18(2^3 - 4)(4^2 + 8)

Simplifying the exponents inside the parenthesis:

18(8 - 4)(16 + 8)

Performing the arithmetic inside each set of parenthesis first:

18(4)(24)

Multiplying across:

= 18 x 4 x 24

= 1728

Therefore, the value of 18(x^3 - 4)(t^2 + 8) when x=2 and t=4 is 1728.

To find the value of w, we need to solve the equation step by step. Let's start by simplifying the equation:

3(w - 2) = -8

Using the distributive property, we can multiply 3 by each term inside the parentheses:

3 * w - 3 * 2 = -8

Simplifying further:

3w - 6 = -8

Now, let's isolate the variable w by getting rid of the constant term on the left side. We can do this by adding 6 to both sides of the equation:

3w - 6 + 6 = -8 + 6

Simplifying further:

3w = -2

Finally, to solve for w, we divide both sides of the equation by 3:

3w/3 = -2/3

Simplifying further:

w = -2/3

So, the value of w is -2/3.