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Solve the equation for a. Show your work.
4a-14=7a-8

Sagot :

262815idn

Answer:

a=-2

Step-by-step explanation:

4a-14=7a-8

Subtract 7a from both sides:

4a-14-7a=7a-8-7a

Group like terms:

4a-7a-14=7a-8-7a

Simplify the arithmetic:

-3a-14=7a-8-7a

Group like terms:

-3a-14=7a=-7a-7a-8

Simplify the arithmetic:

-3a-14=-8

Add 14 to both sides:

-3a-14+14=-8+14

Simplify the arithmetic:

-3a=-8+14

Simplify the arithmetic:

-3a=6

Divide both sides by-3:

Cancel out the negatives:

Simplify the fraction:

Simplify the signs:

Find the greatest common factor of the numerator and denominator:

Factor out and cancel the greatest common factor:

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