Rearrange the equation so r is the independent variable.

q-10 = 6 (r+1)

q=

r = (q - 16) / 6

Step-by-step explanation:

In order to rearrange the equation so that r is the independent variable is the same thing as making r the subject of the formula from the given expression

q-10 = 6 (r+1)

we say,

q - 10 = 6r + 6 (by using 6 to open the bracket)

we are going to collect the like terms

q - 6r = 6 + 10

q - 6r = 16

q = 16 + 6r

q-16 = 6r

divide both sides by the coefficient of r which is 6

(q-16) / 6 = 6r/6

r = (q - 16) / 6