How do you solve $6 w - 13 = 71$ $6w-13=71$ ?

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Answer 1 · 2017-01-31T13:07:13

See the entire solution process below:

First, add $13$ $color(red)(13)$ to each side of the equation to isolate the $w$ $w$ term while keeping the equation balanced:

$6 w - 13 + 13 = 71 + 13$ $6w - 13 + color(red)(13) = 71 + color(red)(13)$

$6 w - 0 = 84$ $6w - 0 = 84$

$6 w = 84$ $6w = 84$

Now, divide each side of the equation by $6$ $color(red)(6)$ to solve for $w$ $w$ while keeping the equation balanced:

$\frac{6 w}{6} = \frac{84}{6}$ $(6w)/color(red)(6) = 84/color(red)(6)$

$(color(red)(cancel(color(black)(6)))w)/cancel(color(red)(6)) = 14$

$w = 14$

How do you solve 6w-13=716w−13=716w-13=71?