Can an equation with the variable inside grouping symbols be written as a two step equation

  yes

Step-by-step explanation:

In general, a linear equation with a variable anywhere can be written as a 2-step equation. (It may take several steps to get there.)

Example 1:

  2(3x +3) = 18 . . . original equation with variable in parentheses

  6x +6 = 18 . . . . . 2-step equivalent

Example 2:

  4(x -9) +6 = 3(2x +17) . . . original equation

  4x -36 +6 = 6x +51

  -30 = 2x +51 . . . . . . 2-step equivalent

give more details

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12