What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46? 14 15 16 17

The correct option is 3.

Step-by-step explanation:

The given equation is

Using distributive property we get,

Add 8 on both the sides.

Divide both sides by 8.

The value of z is 16, therefore the correct option is 3.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions