.2(r+6)=.14(r+8)

Solution for .2(r+6)=.14(r+8) equation:

Simplifying
0.2(r + 6) = 0.14(r + 8)

Reorder the terms:
0.2(6 + r) = 0.14(r + 8)
(6 * 0.2 + r * 0.2) = 0.14(r + 8)
(1.2 + 0.2r) = 0.14(r + 8)

Reorder the terms:
1.2 + 0.2r = 0.14(8 + r)
1.2 + 0.2r = (8 * 0.14 + r * 0.14)
1.2 + 0.2r = (1.12 + 0.14r)

Solving
1.2 + 0.2r = 1.12 + 0.14r

Solving for variable 'r'.

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

Add '-0.14r' to each side of the equation.
1.2 + 0.2r + -0.14r = 1.12 + 0.14r + -0.14r

Combine like terms: 0.2r + -0.14r = 0.06r
1.2 + 0.06r = 1.12 + 0.14r + -0.14r

Combine like terms: 0.14r + -0.14r = 0.00
1.2 + 0.06r = 1.12 + 0.00
1.2 + 0.06r = 1.12

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.06r = 1.12 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.06r = 1.12 + -1.2
0.06r = 1.12 + -1.2

Combine like terms: 1.12 + -1.2 = -0.08
0.06r = -0.08

Divide each side by '0.06'.
r = -1.333333333

Simplifying
r = -1.333333333