How do you solve $- 2.6 q - 33.7 = 84.1$ $-2.6q-33.7=84.1$ ?

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Answer 1 · 2017-05-30T17:59:45

See a solution process below:

Step 1) Add $33.7$ $color(red)(33.7)$ to each side of the equation to isolate the $q$ $q$ term while keeping the equation balanced:

$- 2.6 q - 33.7 + 33.7 = 84.1 + 33.7$ $-2.6q - 33.7 + color(red)(33.7) = 84.1 + color(red)(33.7)$

$- 2.6 q - 0 = 117.8$ $-2.6q - 0 = 117.8$

$- 2.6 q = 117.8$ $-2.6q = 117.8$

Step 2) Divide each side of the equation by $- 2.6$ $color(red)(-2.6)$ to solve for $q$ $q$ while keeping the equation balanced:

$\frac{- 2.6 q}{- 2.6} = \frac{117.8}{- 2.6}$ $(-2.6q)/color(red)(-2.6) = 117.8/color(red)(-2.6)$

$(color(red)(cancel(color(black)(-2.6)))q)/cancel(color(red)(-2.6)) = -45.307$ rounded to the nearest thousandth.

$q = -45.307$ rounded to the nearest thousandth.

How do you solve -2.6q-33.7=84.1−2.6q−33.7=84.1-2.6q-33.7=84.1?