alleryStart learning →Solve: 8n - 4 = -2n + 6.
An=-1
Bn=1
Cn=5
Dn=-5
Answer & Solution
Correct answer: B. n=1
1. Since 8 is greater than -2, make the left side the variable side by adding 2n to both sides: 10n minus 4 equals 6.
2. Add 4 to both sides: 10n equals 10.
3. Divide both sides by 10 to get n equals 1.
4. Check: 8 times 1, minus 4, equals 4, and -2 times 1, plus 6, also equals 4.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.3 Solve Equations with Variables and Constants on Both Sides_
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