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Solve for a,a.

15, minus, start fraction, a, divided by, 12, end fraction, equals, 22
15−
12
a
​
=
22

1 answer

To solve the equation

\[ 15 - \frac{a}{12} = 22, \]

we'll start by isolating the term with \(a\).

  1. Subtract 15 from both sides of the equation:

\[ -\frac{a}{12} = 22 - 15. \]

This simplifies to:

\[ -\frac{a}{12} = 7. \]

  1. To eliminate the negative sign, multiply both sides by -1:

\[ \frac{a}{12} = -7. \]

  1. Now, multiply both sides by 12 to solve for \(a\):

\[ a = -7 \times 12. \]

This gives:

\[ a = -84. \]

So the solution for \(a\) is

\[ \boxed{-84}. \]