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<em>Answer: </em><u>n = -1</u>
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add 6 to both sides of the equation.
4n − 6 = 10n
4n − 6 + 6 = 10n + 6
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simplify.
<em>(add the numbers)</em>
4n − 6 + 6 = 10n + 6
4n = 10n + 6
4n = 10n + 6
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subtract 10n from both sides.
4n − 10n = 10n + 6 − 10n
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simplify. (again)
<em>(combine like terms) (combine like terms)</em>
4n − 10n = 10n + 6 − 10n<em> </em> −6n = 10n + 6 − 10n
−6n = 6
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divide both sides by the same term.
−6n/−6 = 6/-6
n = 6/−6n = 6/−6
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simplify. <em>(again)</em>
<em></em>
<em>(cancel terms that are in both the numerator and denominator)</em>
<em />
n = 6/−6
<em>(divide the numbers)</em>
<em />
n = 6/−6
<u>n = 1</u>
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