Solve 8r-3/2=-15

$$8 r - \frac { 3 } { 2 } = - 15$$

Solve for r

$$r = -\frac{27}{16} = -1\frac{11}{16} = -1.6875$$

Steps for Solving Linear Equation

Add \frac{3}{2} to both sides.

$$8r=-15+\frac{3}{2}$$

Convert -15 to fraction -\frac{30}{2}.

$$8r=-\frac{30}{2}+\frac{3}{2}$$

Since -\frac{30}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$8r=\frac{-30+3}{2}$$

Add -30 and 3 to get -27.

$$8r=-\frac{27}{2}$$

Divide both sides by 8.

$$r=\frac{-\frac{27}{2}}{8}$$

Express \frac{-\frac{27}{2}}{8} as a single fraction.

$$r=\frac{-27}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$r=\frac{-27}{16}$$

Fraction \frac{-27}{16} can be rewritten as -\frac{27}{16} by extracting the negative sign.

$$r=-\frac{27}{16}$$