Solve -48=11/2(2(9)(n-1)-2)

$$- 48 = \frac { 11 } { 2 } ( 2 ( 9 ) ( n - 1 ) - 2 )$$

Solve for n

$$n=\frac{62}{99}\approx 0.626262626$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{11}, the reciprocal of \frac{11}{2}.

$$-48\times \frac{2}{11}=2\times 9\left(n-1\right)-2$$

Express -48\times \frac{2}{11} as a single fraction.

$$\frac{-48\times 2}{11}=2\times 9\left(n-1\right)-2$$

Multiply -48 and 2 to get -96.

$$\frac{-96}{11}=2\times 9\left(n-1\right)-2$$

Fraction \frac{-96}{11} can be rewritten as -\frac{96}{11} by extracting the negative sign.

$$-\frac{96}{11}=2\times 9\left(n-1\right)-2$$

Multiply 2 and 9 to get 18.

$$-\frac{96}{11}=18\left(n-1\right)-2$$

Use the distributive property to multiply 18 by n-1.

$$-\frac{96}{11}=18n-18-2$$

Subtract 2 from -18 to get -20.

$$-\frac{96}{11}=18n-20$$

Swap sides so that all variable terms are on the left hand side.

$$18n-20=-\frac{96}{11}$$

Add 20 to both sides.

$$18n=-\frac{96}{11}+20$$

Convert 20 to fraction \frac{220}{11}.

$$18n=-\frac{96}{11}+\frac{220}{11}$$

Since -\frac{96}{11} and \frac{220}{11} have the same denominator, add them by adding their numerators.

$$18n=\frac{-96+220}{11}$$

Add -96 and 220 to get 124.

$$18n=\frac{124}{11}$$

Divide both sides by 18.

$$n=\frac{\frac{124}{11}}{18}$$

Express \frac{\frac{124}{11}}{18} as a single fraction.

$$n=\frac{124}{11\times 18}$$

Multiply 11 and 18 to get 198.

$$n=\frac{124}{198}$$

Reduce the fraction \frac{124}{198} to lowest terms by extracting and canceling out 2.

$$n=\frac{62}{99}$$