What is (13-3/2 r)-(1-r) ?

The solution to (13-3/2 r)-(1-r) is -1/2 r+12

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simplify (13-3/2 r)-(1-r)

simplify

(13 - \frac{3}{2} r) - (1 - r)

- \frac{1}{2} r + 12

Solution steps

(13 - \frac{3}{2} r) - (1 - r)

Apply rule:

(a) = a

(13 - \frac{3}{2} r) = 13 - \frac{3}{2} r

= 13 - \frac{3}{2} r - (1 - r)

Apply the distributive law:

- (a - b) = - a + b

- (1 - r) = - 1 + r

= 13 - \frac{3}{2} r - 1 + r

Group like terms

= r - \frac{3}{2} r + 13 - 1

Factor out common term

r : r (1 - \frac{3}{2})

= r (1 - \frac{3}{2}) + 13 - 1

Subtract the numbers:

13 - 1 = 12

= r (1 - \frac{3}{2}) + 12

Simplify

r (1 - \frac{3}{2}) : - r \frac{1}{2}

= - r \frac{1}{2} + 12

= - \frac{1}{2} r + 12

3 \frac{3}{8} \div 9

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