Distribute and Simplify: Distribute the 3 into the parentheses. 3(2n-2)-1 = 3*2n - 3*2 - 1 = 6n - 6 - 1 = 6n - 7Addition to Isolate Variable: Add 7 to both sides to isolate the term with the variable n on one side. 6n - 7 + 7 = 9/4 + 7 6n = 9/4 + 28/4 6n = 37/4Divide to Solve for n: Divide both sides by 6 to solve for n. 6n / 6 = (37/4) / 6 n = (37/4) * (1/6) n = 37/24

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$3(2n-2)-1=\frac{9}{4}$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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3(2n-2)-1=\frac{9}{4}

Distribute and Simplify: Distribute the $3$ into the parentheses. $3(2n-2)-1 = 3\times 2n - 3\times 2 - 1$ $= 6n - 6 - 1$ $= 6n - 7$
Addition to Isolate Variable: Add $7$ to both sides to isolate the term with the variable $n$ on one side. $\newline$ $6n - 7 + 7 = \frac{9}{4} + 7$ $\newline$ $6n = \frac{9}{4} + \frac{28}{4}$ $\newline$ $6n = \frac{37}{4}$
Divide to Solve for n: Divide both sides by $6$ to solve for n. $\newline$ $6n / 6 = (37/4) / 6$ $\newline$ $n = (37/4) \cdot (1/6)$ $\newline$ $n = 37/24$