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Answer: n = -1
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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.
(add the numbers)
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)
(combine like terms) (combine like terms)
4n − 10n = 10n + 6 − 10n −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. (again)
(cancel terms that are in both the numerator and denominator)
n = 6/−6
(divide the numbers)
n = 6/−6
n = 1
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