.6(r-7)=1

Solution for .6(r-7)=1 equation:

Simplifying
0.6(r + -7) = 1

Reorder the terms:
0.6(-7 + r) = 1
(-7 * 0.6 + r * 0.6) = 1
(-4.2 + 0.6r) = 1

Solving
-4.2 + 0.6r = 1

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '4.2' to each side of the equation.
-4.2 + 4.2 + 0.6r = 1 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 0.6r = 1 + 4.2
0.6r = 1 + 4.2

Combine like terms: 1 + 4.2 = 5.2
0.6r = 5.2

Divide each side by '0.6'.
r = 8.666666667

Simplifying
r = 8.666666667