Question

How do you solve `29= - 5- 2k`?

Answer 1

See a solution process below:

Explanation:

This is a standard 2-Step problem.

Step 1) Isolate the variable" Add `color(red)(5)` to each side of the equation to isolate the `k` term while keeping the equation balanced:

`color(red)(5) + 29 = color(red)(5) - 5 - 2k`

`34 = 0 - 2k`

`34 = -2k`

Step 2) Multiply or Divide by the appropriate number to solve for the Variable: Divide each side of the equation by `color(red)(-2)` to solve for `k` while keeping the equation balanced:

`34/color(red)(-2) = (-2k)/color(red)(-2)`

`-17 = (color(red)(cancel(color(black)(-2)))k)/cancel(color(red)(-2))`

`-17 = k`

`k = -17`